5x-4y=-44

Question

-x+3y=22

Answer 1

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

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

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

Now, substitute y 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.