Solve the system of equations.

Question

5x–4y=–44
–x+3y=22

Answer 1

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

Let's use the method of substitution.

From the second equation, we can isolate x:

-x + 3y = 22
x = 3y - 22

Now, substitute this value of x into the first equation:

5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = -44 + 110
11y = 66
y = 66/11
y = 6

Now, substitute this value of y back into the second equation to find x:

-x + 3(6) = 22
-x + 18 = 22
-x = 22 - 18
-x = 4
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 6.