what is the solution to the system containing the equation ? x + y = -8 and -3x + 2y = 9

Answer 1

Multiply first equation by 3.

3x + 3y = -24

-3x + 2y = 9

Add the two equations.

5y = -15

y = -3

Put y value in one equation.

x + (-3) = -8

x = -5

Check by putting both values in the other equation.

(-3)(-5) + 2(-3) = 9

15-6 = 9