Question

Find the solution to the system of equations
−8x+4y=24

−7x+7y=28
​

Answer 1

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