Question

Now that you’ve substituted 2x−3 for y, find the value of x.
y=2x−3
x=−3y+5
x
=
−3(2x−3)+5

x
=

Answer 1

To find the value of \( x \), we substitute \( y \) in the second equation with \( 2x - 3 \).

The two equations are:
1. \( y = 2x - 3 \)
2. \( x = -3y + 5 \)

Substituting \( y = 2x - 3 \) into the second equation:

\[
x = -3(2x - 3) + 5
\]

Now, let's simplify the equation:

\[
x = -3(2x) + (-3)(-3) + 5
\]
\[
x = -6x + 9 + 5
\]
\[
x = -6x + 14
\]

Next, we will add \( 6x \) to both sides to isolate \( x \):

\[
x + 6x = 14
\]
\[
7x = 14
\]

Now, divide both sides by \( 7 \):

\[
x = 2
\]

So, the value of \( x \) is:

\[
\boxed{2}
\]