Question

7. What is the value of x in the solution to this system of equations? y + 2x = -1 y = 1/2 x + 4​

Answer 1

Answer:

x = -2

Step-by-step explanation:

First, we need to represent y in terms of x by using the first equation. If we do this we will get the following...

y + 2x = -1

y = -1 - 2x

Now we substitute the "y" in the second equation with an equal value in terms of "x" that we got in the last equation, and we will get the follolowing equation...

$y = \frac{1}{2} x + 4\\- 1 - 2x = \frac{1}{2} x + 4\\-2 -4x = x + 8\\-4x - x = 8 + 2\\- 5x = 10\\5x = -10\\x = 10 /5\\x = 2$

Answer 2

Answer:

x = -2

Step-by-step explanation:

y + 2x = -1

y = 1/2 x + 4​

y + 2x= -1

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

5/2x + 4 = -1

5/2x = -5

x = -2