Solve the system of equations. 5x–4y=–44 –x+3y=22(1 point)

Answer 1

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

First, let's solve the second equation for x in terms of y:

-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 = -154
y = -14

Now that we have y, we can substitute this back into the second equation to solve for x:

-x + 3(-14) = 22
-x - 42 = 22
-x = 64
x = -64

Therefore, the solution to the system of equations is x = -64 and y = -14.