Question

Solve the system by substitution.
y, equals, 9, x
y=
9x
y, equals, 3, x, minus, 24
y=
3x−24

Answer 1

To solve the system of equations by substitution, we have the following equations:

1. \( y = 9x \) (Equation 1)
2. \( y = 3x - 24 \) (Equation 2)

Since both equations equal \( y \), we can set them equal to each other:

\[
9x = 3x - 24
\]

Next, we will isolate \( x \). First, subtract \( 3x \) from both sides:

\[
9x - 3x = -24
\]

This simplifies to:

\[
6x = -24
\]

Now, divide both sides by 6:

\[
x = -4
\]

Now that we have the value of \( x \), we can substitute it back into Equation 1 to find the value of \( y \):

\[
y = 9x
\]

Substituting \( x = -4 \):

\[
y = 9(-4) = -36
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (-4, -36)
\]

So, the final answer is:
\[
\boxed{(-4, -36)}
\]