Solve the system of equations
5X minus 4Y equals equals -44
Negative X plus 3Y equals 22
To solve this system of equations, we can use the method of substitution or elimination.
First, let's solve one of the equations for one variable and substitute it into the other equation.
From the first equation:
5X - 4Y = -44
5X = 4Y - 44
X = (4Y - 44)/5
Now we substitute X into the second equation:
-(4Y - 44)/5 + 3Y = 22
-4Y + 44 + 15Y = 110
11Y + 44 = 110
11Y = 66
Y = 6
Now we substitute Y back into the first equation to find X:
5X - 4(6) = -44
5X - 24 = -44
5X = -20
X = -4
Therefore, the solution to the system of equations is:
X = -4
Y = 6