Question

Solve the system of equations.
5x–4y=–44
–x+3y=22

Answer 1

To solve this system of equations, we can use the method of substitution.

First, let's solve the second equation for x:
-x + 3y = 22
x = 3y - 22

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

Substitute this value for y back into the second equation to solve for x:
-x + 3(6) = 22
-x + 18 = 22
-x = 4
x = -4

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