Question

Solve the system of equations.

y = 4x − 9
y = x − 3

Group of answer choices

x = -8

x = 0

x = 4

x = 2

Answer 1

To solve the system of equations:

1. \( y = 4x - 9 \)
2. \( y = x - 3 \)

We can set the two equations equal to each other since they both equal \( y \):

\[
4x - 9 = x - 3
\]

Next, we will isolate \( x \) by subtracting \( x \) from both sides:

\[
4x - x - 9 = -3
\]
\[
3x - 9 = -3
\]

Now, add \( 9 \) to both sides:

\[
3x = 6
\]

Next, divide by \( 3 \):

\[
x = 2
\]

Now that we have \( x \), we can find \( y \) by substituting \( x = 2 \) back into one of the original equations. We can use \( y = x - 3 \):

\[
y = 2 - 3 = -1
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (2, -1)
\]

From the group of answer choices provided, the correct value for \( x \) is:

\[
\boxed{2}
\]