Now that you’ve substituted 2x−3 for y, find the value of x.

Question

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:

\[ \boxed{2} \]