Solve the system of equations.
5x–4y=–44
–x+3y=22 (1 point)
To solve the system of equations, we will use the method of substitution.
First, solve the second equation for x:
-x + 3y = 22
-x = 22 - 3y
x = -22 + 3y
Next, substitute x = -22 + 3y into the first equation:
5(-22 + 3y) - 4y = -44
-110 + 15y - 4y = -44
11y = 66
y = 66 / 11
y = 6
Now that we have found the value of y, we can substitute it back into the equation to find the value of x:
x = -22 + 3(6)
x = -22 + 18
x = -4
Therefore, the solution to the system of equations is x = -4 and y = 6.