Solve the system of equations.

Question

5x–4y=–44

–x+3y=22(1 point)

Answer 1

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

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

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

Now that we have found the value of y, we can substitute it back into the second equation to find 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.