Question

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

Answer 1

To solve the system of equations:

1. \( 5x - 4y = -44 \) (Equation 1)
2. \( -x + 3y = 22 \) (Equation 2)

We'll start by solving Equation 2 for \( x \):

\[
-x + 3y = 22
\]
\[
x = 3y - 22
\]

Now, substitute \( x \) in Equation 1:

\[
5(3y - 22) - 4y = -44
\]

Distribute \( 5 \):

\[
15y - 110 - 4y = -44
\]

Combine like terms:

\[
11y - 110 = -44
\]

Add \( 110 \) to both sides:

\[
11y = 66
\]

Now, divide by \( 11 \):

\[
y = 6
\]

Now that we have \( y \), substitute it back into the equation we found for \( x \):

\[
x = 3(6) - 22
\]
\[
x = 18 - 22
\]
\[
x = -4
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (-4, 6)
\]

Final answer:

\[
(-4, 6)
\]