Solve the system of equations 5X minus 4Y equals -44 and negative X plus 3Y equals 22
To solve the system of equations, we can use the substitution method.
First, we can solve the second equation for X:
- X + 3Y = 22
X = 3Y - 22
Now we can substitute this expression for X into the first equation:
5(3Y - 22) - 4Y = -44
15Y - 110 - 4Y = -44
11Y - 110 = -44
11Y = 66
Y = 6
Now we can plug this value of Y 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.