To solve the system of equations:
First, we can solve the second equation for x:
-x + 3y = 22
x = 3y - 22
Next, we substitute this value of x into the first equation:
5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = 66
y = 66/11
y = 6
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x:
-x + 3(6) = 22
-x + 18 = 22
-x = 22 - 18
-x = 4
x = -4
Therefore, the solution to the system of equations is x = -4 and y = 6.
5x - 4y = -44
-x + 3y = 22
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