Question

-2x - 2y = 22
x = - 3y -25

Answer 1

The second equation offers a way to write x in terms of y. Use this expression to substitute x in the first equation:

`-2(-3y-25)-2y=22 \iff 6y+50-2y=22 \iff 4y=-28 \iff y=-7`

Now substitute this value for y in the second equation:

`x = - 3y -25 \iff x=-3(-7)-25 = 21-25=-4`

Answer 2

-4 and -7

Explanation:

Given two equations

1. -2x - 2y = 22

2. x = -3y - 25

Substitute -3y - 25 for x in equation 1.

We have

-2x - 2y = 22

-2(-3y - 25) - 2y = 22

Expand the bracket

-2 X -3y + 2 x 25 - 2y = 22

6y + 50 - 2y = 22

6y - 2y + 50 = 22

4y + 50 = 22

Subtract 50 from both sides to eliminate 50 on the left side

4y + 50 - 50 = 22 - 50

4y = -28

Divide both sides by -8 to isolate y

4y/4 = -28/4

y = -7

Now substitute -7 for y in equation two to get x

We have

x =-3y - 25

= -3(-7) - 25

= -3 x -7 - 25

= 21 - 25

= -4

x = -4

x = -4

y = -7

Check

-2x - 2y = 22

-2(-4) -2(-7) = 22

8 + 14 = 22

22 = 22