Solve the system of equations.

Question

5x - 4y = -44
-x + 3y = 22 (1 point)

Answer 1

To solve the system of equations, we can use the method of substitution or elimination. Let's use substitution.

First, isolate x in the second equation:
-x + 3y = 22
-x = -3y + 22
x = 3y - 22

Now substitute x = 3y - 22 into the first equation:
5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = 66
y = 6

Now substitute y = 6 back into x = 3y - 22:
x = 3(6) - 22
x = 18 - 22
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 6.