Question

solve the system of equations
5x - 4y = -44
-x + 3y = 22
(_,_)

Answer 1

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

1. Solve the second equation for x in terms of y:
-x + 3y = 22
x = 3y + 22

2. Substitute x = 3y + 22 into the first equation:
5(3y + 22) - 4y = -44
15y + 110 - 4y = -44
11y + 110 = -44
11y = -154
y = -14

3. Substitute y = -14 into x = 3y + 22:
x = 3(-14) + 22
x = -42 + 22
x = -20

Therefore, the solution to the system of equations is x = -20, y = -14.