Solve the system of equations.

5x-4y=-44
-x+3y=22

1 answer

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

From the second equation, we can solve for x:
-x + 3y = 22
x = 3y - 22

Now we 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 that we have found the value of y, we can substitute it back into x = 3y - 22 to find x:
x = 3(6) - 22
x = 18 - 22
x = -4

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