Solve the system of equations. 5x–4y=–44 –x+3y=22 (1 point) (, )
One way to solve the system of equations is by using the method of substitution.
From the second equation, we can solve for x in terms of y:
-x + 3y = 22
x = 3y - 22
Now we can substitute this expression for x into the first equation:
5x - 4y = -44
5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = 66
y = 6
Substituting this value of y back into the second equation:
-x + 3(6) = 22
-x + 18 = 22
-x = 4
x = -4
Therefore, the solution to the system of equations is (-4, 6).