Question

Solve the system of equations.
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.

Using substitution:
From the second equation, we can solve for x in terms of y:
-x + 3y = 22
x = 3y - 22

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

Substituting y = 6 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, y) = (-4, 6).