Answer:
x = -2 and y = 0
Explanation:
5x + y = -10
4x - 7y = -8
Rearrange the first equation to equal y.
5x + y = -10
y = -10 - 5x
Replace y in the second equation with the first equation.
4x - 7y = -8
4x - 7(-10 - 5x) = -8
4x - (-70 -35x) = -8
4x + 70 + 35x = -8
Rearrange the equation to find x.
4x + 35x = -8 - 70
39x = -78
x = -2
Now that you know x, use the rearranged first equation to find y.
y = -10 - 5x
y = -10 - 5(-2)
y = -10 + 10
y = 0