The solution is x = 2 and y = -11
Solution:
Given system of equations are:
x + y = -9 --------- eqn 1
5x - 2y = 32 ------------- eqn 2
We have to solve the system of equations
We can solve the system by substitution method
From eqn 1,
x + y = -9
Isolate "y" to one side
y = -9 - x ---------- eqn 3
Substitute eqn 3 in eqn 2
5x -2(-9 - x) = 32
5x + 18 + 2x = 32
Combine the like terms
7x = 32 - 18
7x = 14
x = 2
Substitute x = 2 in eqn 3
y = - 9 - 2
y = -11
Thus the solution is x = 2 and y = -11