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Katarina [22]
2 years ago
11

Solve by the substitution method.

Mathematics
2 answers:
GalinKa [24]2 years ago
7 0

Answer:

The unique solution to the system is (x,y){(-9,-3)}

Step-by-step explanation:

x - y = -6     equation 1

5x + 6y = -63     equation 2

We will find the value of x from equation 1.

x= y-6

Now put the value of x in equation 2.

5(y-6)+6y = -63

5y-30+6y = -63

Combine the like terms:

5y+6y= -63+30

11y = -33

Divide both sides by 11.

11y/11 = -33/11

y = -3

Now put the value y = -3 in x=y-6

x = y-6

x= -3-6

x= -9

Therefore The unique solution to the system is (x,y){(-9,-3)} ....

aalyn [17]2 years ago
5 0

Answer: A. The unique solution to the system is (-9,-3)

Step-by-step explanation:

You can follow these steps to solve the system of equation by the Substitution Method:

- Solve for "x" from the first equation:

x - y = -6\\x=-6+y

- Substitute into the second equation and solve for "y":

5(-6+y) + 6y = -63\\\\-30+5y+6y=-63\\\\11y=-63+30\\\\y=\frac{-33}{11}\\\\y=-3

- Sustitute the value of "y" into x=-6+y to find the value of "x":

x=-6+(-3)\\\\x=-9

Therefore, the unique solution to the system is:

(-9,-3)

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Answer:

(a) and (e)

Step-by-step explanation:

Given

d = 14cm

Required

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First, is a statement about the area.

The area is calculated as:

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So, we have:

Area= 3.14*\frac{14^2}{4}

Area= 3.14*49

(a) is true

Next, is a statement about the circumference.

This is calculated as:

C = \pi d

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3 0
2 years ago
Answer All please (13 points)
3241004551 [841]
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2. 15 because 15-3=12
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3 years ago
For the function f(x) = 5x - 7 answer the following questions:
Elis [28]

Answer:

See below

Step-by-step explanation:

<h3>Given function </h3>
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<u>Another notation for same function is</u>

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<h3>Questions </h3>

<u>1. Is the function increasing or decreasing? </u>

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<u>2. What is the y-intercept? </u>

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<u>3. What is the slope? </u>

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<u>4. What is f(-2)? </u>

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<u>5. If f(x) = 0, what is x?</u>

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8 0
3 years ago
Read 2 more answers
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2.

Point A'(4, 3)

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Point C'(6, 7)

3.

Point D'(-8, -2)

4.

Point E'(2, -4)

5.

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Hope this helps! :)

7 0
3 years ago
Grant attempted to solve an equation but made an error. What is his error, and
Vlad1618 [11]

Answer:

No Solution.

Step-by-step explanation:

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4 0
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