Find the solution to the system of equations

-8x+4y=24

-7x+7y=28

answer

x = - 2

y = 2

simply the equations and rewrite both in terms of y

-8x + 4y = 24 divide both sides by 4

-2x + y = 6

y = 2x + 6

-7x+7y=28 divide both sides by 7

-x + y = 4

y = x + 4

set both equations equal to each other

y = 2x + 6

y = x + 4

y = 2x + 6 = x + 4

solve

2x + 6 = x + 4 subtract x from both sides

x + 6 = 4

x = - 2

plug x back into one of the equations

x = - 2

y = x + 4

y = - 2 + 4

y = 2

x = - 2, y = 2