If a doctor has ruled out a gastric ulcer (which refers to an ulcer in the stomach), and they suspect that the patient may still have an ulcer, they would likely examine the small intestine.
Ulcers that occur in the small intestine are known as duodenal ulcers. These ulcers are commonly found in the first part of the small intestine, called the duodenum. The doctor would conduct further investigations and tests, such as an endoscopy or imaging studies, to assess the condition of the small intestine and confirm the presence of a duodenal ulcer. It's important to note that medical professionals would make a definitive diagnosis based on the patient's symptoms, medical history, and the results of diagnostic tests.
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Kaitlin sold t-shirts at a festival and made a profit of $71 . She made $4 for each t-shirt she sold. Her total expenses were $25 . How many t-shirts did she sell?
The t-shirts she sell is 24.
What is profit and selling price?
Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.
The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.
According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25
Let the total number of t- shirts sold by Christine be "x"
Profit = Selling price – Expenses
Selling price is given as:
selling price = total number to t-shirt sold ×price of each t shirt
selling price = n ×4
71 = (n×4) -24
71 + 25 = n×4
96/4 = n
n = 24
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Rewrite 16a4b + 8ab3 using a common factor.
2a4b(8 + 4ab3)
4ab(4a3 + 8ab3)
8ab(2a4b + 8ab3)
8ab(2a3 + b2)
The expression 16a⁴b + 8ab³ can be written as 8ab(2a³ + b²). Option (D) is correct.
What is GCF?GCF is the greatest common factor, that is the highest common number that is common in two or more numbers.
The given expression is,
16a⁴b + 8ab³
Simplify the expression, by factor method,
8 x 2 x a x a x a x a x b + 8 x a x b x b x b
The common term is 8ab,
8ab(2a³ + b²)
The required expression is 8ab(2a³ + b²).
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How much must be deposited today into the following account in order to have a $125,000 college fund in 16 years? Assume no additional deposits are made. An account with monthly compounding and an APR of 7.3%
The amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, the amount that will be developed after interest is laid
= A = $125,00
Also, number of years for which amount is loaned = n = 16 years
Annual Percentage Rate of the loan availed = R = 7.3
Frequency with which interest is paid out per year = 1
Following the formula established in the literature, we have:
125000 = P(1 + 7.3)⁴ ⇒ P = 125000/(1 + 7.3)⁴ ⇒ P = 125000/8.3⁴ = 26.34
Therefore, the amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
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Check all that apply
vertical angels must
A. be obtuse
B. be adjacent
C. have the same vertex
D. be congruent
Answer:
D. be congruent
Step-by-step explanation:
vertical angles are angles that are across from each other on intersecting lines and they are always congruent
volume of a sphere = Tr³, where r is the
3
radius.
The shape below is made by removing a
hemisphere from a cylinder.
The bottom of the hemisphere touches the
centre of the base of the cylinder.
Work out the volume of the shape in terms of
ㅠ.
15 cm
Answer:
Step-by-step explanation:
it would be 8
The volume of the given shape after removing a hemisphere is 1125 cubic centimeters.
Given volume of a sphere = \(\frac{4}{3} \pi r^3\)
We know that volume of hemisphere = \(\frac{2}{3} \pi r^3\)
From the figure, the height of the shape is equal to radius.
To find the volume of shape, remove the volume of hemisphere from volume of cylinder.
Volume of cylinder = \(\pi r^2 h\)
Volume of shape = Volume of cylinder- volume of hemisphere.
Volume of shape = \(\pi r^2 h-\frac{2}{3} \pi r^3\)
\(=\pi r^2( h-\frac{2}{3} r)\)
\(=\pi r^2( r-\frac{2}{3} r)\)
Plug in the value of r:
\(=\pi 15^2( \frac{15}{3} )\)
\(=225 \times \pi \times (5)\)
=1125π cubic centimeters.
Hence, the volume of the shape is 1125 cubic centimeters.
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Covert the following decimals to percents.
0.15 =_%
Answer:
15%
Step-by-step explanation:
0.15 x 100 = 15%
help me please please please
Answer:
hope this help you
have a great day
God bless you
Question # 1
(a). A-Grade Manufacturers produces three mixtures of sand, pebbles, and rocks for eventual sale in 20-kg bags to new homebuyers who want to expand and beautify their homes. The GRADE_A mixture is composed of 10 kg sand, 7 kg pebbles, and 3 kg rocks, the GRADE_B mixture is composed of 6 kg sand, 10 kg pebbles, and 4 kg rocks, the GRADE_C mixture is composed of 2 kg sand, 8 kg pebbles, and 10 kg rocks. The market prices prevailing are $ 275.00 for a GRADE_A bag, $250.00 for a GRADE_B bag and $225.00 for a GRADE_C bag. The company knows that the market prices will hold regardless of the volume of each product it produces.
A-Grade Manufacturers wishes to maximize sales revenue from its present plant and equipment. Output is restricted only by the capacity of the storage bins. The local environmental body said that the bins can be refilled only once per week. The sand bin holds 2000 kg, the pebbles bin holds 3000 kg, and the rock bin holds 4000 kg.
Formulate a linear programming model in that will assist A-Grade Manufacturers to achieve its objective. [7 marks]
(b). A furniture manufacturer (he supplies Courts) produces tables and chairs. He employs different types of wood and labour in making these products. Specifically, each table requires 5 board feet of oak, 2 board feet of pine, and 4 labour hours. Each chair requires 2 board feet of oak, 3 board feet of pine, and 2 labour hours. The manufacturer makes $12 profit per table sold and $8 profit per chair sold. Moreover, he can sell all tables and chairs produced. Unfortunately, he only has 150 board feet of oak, 100 board feet of pine, and 80 labour hours to work with during the coming week.
The manufacturer wishes to determine how many units of each product should be made (and sold) so as to maximize weekly profits, subject to the available resources. Formulate a linear programming model of this problem and solve it graphically. [13 marks]
The maximum profit of $400 is achieved by producing 20 tables and 20 chairs.
(a) Let x, y, and z be the number of bags of GRADE_A, GRADE_B, and GRADE_C produced, respectively.
The objective is to maximize the sales revenue, which is given by:
Revenue = 275x + 250y + 225z
The constraints are:
The sand used in the production of the bags of each mixture cannot exceed the capacity of the sand bin:
10x + 6y + 2z <= 2000
The pebbles used in the production of the bags of each mixture cannot exceed the capacity of the pebbles bin:
7x + 10y + 8z <= 3000
The rocks used in the production of the bags of each mixture cannot exceed the capacity of the rocks bin:
3x + 4y + 10z <= 4000
The number of bags produced must be non-negative:
x, y, z >= 0
The linear programming model for this problem is:
Maximize: 275x + 250y + 225z
Subject to:
10x + 6y + 2z <= 2000
7x + 10y + 8z <= 3000
3x + 4y + 10z <= 4000
x, y, z >= 0
(b) Let x and y be the number of tables and chairs produced, respectively.
The objective is to maximize the weekly profits, which is given by:
Profit = 12x + 8y
The constraints are:
The amount of oak used in the production of tables and chairs must not exceed the available oak:
5x + 2y <= 150
The amount of pine used in the production of tables and chairs must not exceed the available pine:
2x + 3y <= 100
The amount of labor hours used in the production of tables and chairs must not exceed the available labor hours:
4x + 2y <= 80
The number of tables and chairs produced must be non-negative:
x, y >= 0
The linear programming model for this problem is:
Maximize: 12x + 8y
Subject to:
5x + 2y <= 150
2x + 3y <= 100
4x + 2y <= 80
x, y >= 0
Solving this problem graphically, we plot the three constraints on a graph and find the feasible region. Then, we evaluate the objective function at the vertices of the feasible region to find the optimal solution.
The feasible region is shown in the graph below:
The vertices of the feasible region are A(0,0), B(0,33.33), C(20,20), D(25,10), and E(30,0).
Evaluating the objective function at each of the vertices, we have:
A: Profit = 12(0) + 8(0) = 0
B: Profit = 12(0) + 8(33.33) = 266.64
C: Profit = 12(20) + 8(20) = 400
D: Profit = 12(25) + 8(10) = 380
E: Profit = 12(30) + 8(0) = 360
Therefore, the maximum profit of $400 is achieved by producing 20 tables and 20 chairs.
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Which answer choice describes the transformation of the quadratic function y = -4x2 from the parent function y = x2?
The quadratic function y = -4x2 is obtained from the parent function y = x2 by multiplying each y-coordinate by -4.
This results in the parent function's graph being reflected across the x-axis and vertically compressed by a factor of 4.
The transformation of a function is the process of changing its shape and position by altering one or more of its parameters. A parent function is a basic, unmodified function that serves as a template for other functions of the same family.
For example, y = x2 is the parent function of all quadratic functions, which are functions that involve a squared variable.
Quadratic functions have a characteristic "U" shape and can be transformed in various ways to produce different graphs. y = -4x2 is a transformed version of y = x2, obtained by multiplying each y-coordinate by -4.
This has the effect of reflecting the graph across the x-axis and compressing it vertically by a factor of 4.
The negative sign indicates that the graph is upside down compared to the parent function, so it opens downwards instead of upwards.
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given f(x) = x^4 – 3x^3 x – 3. what is limit of f (x) as x approaches negative 2?
A. –45
B. –13
C. 3
D. 35
After considering the given data we conclude that the evaluated limit of the given function is 35, which is option D
Here we have to apply the principle of evaluating function using a dedicated value.
Given \(f(x) = x^4 - 3x^3 x - 3,\)we need to evaluate the limit of f(x) as x approaches negative 2.
To evaluate the limit, we can simply substitute x = -2 into the function:
\(f(-2) = (-2)^4 - 3(-2)^3(-2) - 3 = 16 + 24 - 2 - 3 = 35\)
Therefore, the limit of f(x) as x approaches negative 2 is 35.
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f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answer:
f(g(x))=9-x-\(x^{2}\)
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=\(x^{2}\) +x
here,.
fog
=f(g(x))
=f(\(x^{2}\) +x)
=9-(\(x^{2}\) +x)
=9-\(x^{2}\) -x
=9-x-\(x^{2}\)
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Simplify the expression: –6(4 − 5j) =
Answer:
30j - 24
Step-by-step explanation:
–6(4 − 5j)
= -24 + 30j
So, the answer is -24 + 30j
PLEASE GIVE ME BRAINLIEST! :)
Answer:
-24 + 30j
Step-by-step explanation:
To simplify the expression, we need to distribute the -6 across the terms inside the parentheses:
-6(4 - 5j) = (-6 x 4) - (-6 x 5j)
Simplifying this expression, we get:
-6(4 - 5j) = -24 + 30j
Therefore, the simplified expression is -24 + 30j.
i don’t understand this at all
Answer:
a) the midpoint is (1.5, 2.5)
b) the line is y = -(7/3)*x + 6.
Step-by-step explanation:
a)
Suppose we have two values, A and B, the mid-value between A and B is:
(A + B)/2
Now, if we have a segment with endpoints (a, b) and (c, d), the midpoint will be in the mid-value of the x-components and the mid-value of the y-components, this means that the midpoint is:
( (c + a)/2, (b + d)/2)
a) Then if the endpoints of the segment are (-2, 1) and (5, 4), the midpoint of this segment will be:
( (-2 + 5)/2, (1 + 4)/2) = (3/2, 5/2) = (1.5, 2,5)
The midpoint of the segment is (1.5, 2.5)
b)
Now we want to find the equation of a perpendicular line to our segment, that passes through the point (1.5, 2.5).
First, if we have a line:
y = a*x + b
A perpendicular line to this one will have a slope equal to -(1/a)
So the first thing we need to do is find the slope of the graphed segment.
We know that for a line that passes through the points (a, b) and (c, d) the slope is:
slope = (c - a)/(d - b)
Then the slope of the segment is:
slope = (4 - 1)/(5 - (-2)) = 3/7
Then the slope of the perpendicular line will be:
s = -(7/3)
Then the perpendicular line will be something like:
y = -(7/3)*x + d
Now we want this line to pass through the point (1.5, 2.5), then we can replace the values of this point in the above equation, and solve for d.
2.5 = -(7/3)*1.5 + d
2.5 + (7/3)*1.5 = d = 6
Then the line is:
y = -(7/3)*x + 6
Which expressions are equivalent
Answer:
Options (B) and (C)
Step-by-step explanation:
The given expression is \((d^{\frac{1}{8}})^5\)
By simplifying this expression,
\((d^{\frac{1}{8}})^5\)
= \((\sqrt[8]{d})^{5}\)
Option (B)
Similarly,
\((d^{\frac{1}{8}})^5\)
= \(d^{\frac{5}{8}}\)
= \((d^{5})^{\frac{1}{8}}\)
Option (C)
Therefore, Options (B) and (C) will be the correct options.
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP
(Not 22.4 or 22.43)
Please answer ASAP, brainly awarded.
Answer:
Step-by-step explanation:
Triangle MNP is a right triangle with the following values:
m∠P = 90°m∠N = 58°PM = 8Interior angles of a triangle sum to 180°. Therefore:
m∠M + m∠N + m∠P = 180°
m∠M + 58° + 90° = 180°
m∠M + 148° = 180°
m∠M = 32°
To find the measures of sides MN and NP, use the Law of Sines:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Substitute the values into the formula:
\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)
\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)
Therefore:
\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)
\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)
To find the perimeter of triangle MNP, sum the lengths of the sides.
\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)
I need help asap please help the best answer gets brainly brain if you know what I mean $ $ U3U U3U
U
Answer: the answer is correct
Step-by-step explanation:
the color is green, you're just color-blind not red I got it correct the first time (no I did not it's just sad)
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
is 4 a factor of 18?
A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
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Evaluate f(t)=-2t^2+ 1 for f(-3). PLEASE HELP I BEG YOU!!!!!!!!!!!
Answer:
\(f(-3)=-17\)
Step-by-step explanation:
→ Substitute in t = -3 into \(f(t)=-2t^{2} +1\)
\(f(-3)=-2*-3^{2} +1\)
→ Simplify
\(f(-3)=-2*9 +1\)
→ Simplify
\(f(-3)=-18 +1\) ⇔ \(f(-3)=-17\)
Write at least three different expressions that are equivalent to
+(-12x + 30).
Answer:
1.) -12x + 30
2.) -(12x - 30)
3.) 3(-4x + 10)
Extra: -3(4x - 10)
Please help!!
Given a cube with volume V, you can use the formula P = 4V⅓ to find the perimeter of one of the cube's square faces. Find the perimeter of a face of a cube that has volume 125 m³.
The perimeter of one of the cube's square faces is 20 m. Substituting this value of V in the above equation, we have:
\(P = 4×125⅓\)
= 4×5
= 20
Now, the perimeter of one of the cube's square faces is 20 m. An alternative way to solve this problem is by finding the side length of the cube, and then calculating the perimeter of one of its faces. Since the volume of the cube is given as 125 m³, we have the formula: V = s³where s is the side length of the cube.
Substituting the value of V as 125 m³, we get:
s³ = 125
⇒ s = 5m.
Now, the perimeter of one of the cube's square faces is 4s. Substituting the value of s as 5m, we have:
Perimeter of one of the cube's square faces = 4s
= 4×5
= 20m.
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The change in the value of a linear function f(x) as x increases is shown in the table below.
f(x) -3 -2 -1 0
x -2 0 2 4
What is the rate of change? Decimal form.
m=
Answer:
m = 1/2
Step-by-step explanation:
\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)
\( - 5 {u}^{4} \times ( {u}^{4} )\)
PLEASE HELP ME
Ariel, who is 15, is 3 years more than
twice the age of Hilary. How old is
Hilary?
Answer:
6
Step-by-step explanation:
15 - 3 = 12, divide that by 2 and your answer is 6.
Answer:6
Step-by-step explanation:
yea
I NEED THIS ASAP!!!!!
1/2x*x*x*1/2x=360
Solve for x
Answer:
X to the 4th power = 1440
Step-by-step explanation:
can someone please help me with this:)
Answer: c
Step-by-step explanation:
Solve each system by graphing.
x + y = 3
6x + y = -2
At what point do they intersect if at all.
They intersect at point...
(-1,4)
Answer:
x + y = 3 equals x + y - 3 = 0
6x + y = -2 equals 6x + y + 2 = 0
Step-by-step explanation:
For x + y = 3
x + y - 3 = 3 - 3
For 6x + y = -2
6x + y + 2 = - 2 + 2