Solve each system by elimination. X+6y=-8

7x+2y=24

8x + 8y = 24

y=-2

x=4

Step-by-step explanation:

equation 1: x + 6y = - 8

equation 2: 7x + 2y = 24

To eliminate x first, multiply equation 1 by 7:

7x + 42y = - 56

Then subtract the equations from each other:

{ 7x + 42y = - 56 } - { 7x + 2y = 24 } = - 40y=80

Then we divide both sides by - 40 to isolate the y

y = - 2

Then we plug - 2 into y in one of the equations to find x:

7x+42y=-56

7x+42 (-2) = -56

7x-84=-56

7x=28

x=4