Question

Question
Solve the system of equations.
8x−3y= −22

y=10+4x
(1 point)
(
,
)

Answer 1

To solve the system of equations:

1. \( 8x - 3y = -22 \) (Equation 1)
2. \( y = 10 + 4x \) (Equation 2)

We can substitute the expression for \( y \) from Equation 2 into Equation 1.

Substituting \( y \) in Equation 1:

\[
8x - 3(10 + 4x) = -22
\]

Now simplify the equation:

\[
8x - 30 - 12x = -22
\]

Combine like terms:

\[
-4x - 30 = -22
\]

Now, add 30 to both sides:

\[
-4x = 8
\]

Now divide by -4:

\[
x = -2
\]

Now that we have \( x \), we can substitute it back into Equation 2 to find \( y \):

\[
y = 10 + 4(-2)
\]

Calculating \( y \):

\[
y = 10 - 8 = 2
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (-2, 2)
\]

So the final answer is:

\[
(-2, 2)
\]