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Solve the system of equations

5X minus 4Y equals -44
-X plus 3Y equals 22

1 answer

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution here.

From the second equation, we can express X in terms of Y:
-X + 3Y = 22
X = 3Y - 22

Now we substitute X in the first equation:
5(3Y - 22) - 4Y = -44
15Y - 110 - 4Y = -44
11Y - 110 = -44
11Y = 66
Y = 6

Now that we have found Y, we can substitute this value back into the second equation to find X:
X = 3(6) - 22
X = 18 - 22
X = -4

Therefore, the solution to the system of equations is X = -4 and Y = 6.