# How do you solve by substitution 2x=3y and x=3y-3?

Jun 5, 2015

$x = 3$
$y = 2$

#### Explanation:

First, substitute $3 y$ in the second equation with $2 x$ (this is given to us in the first equation), and solve for x:

$x = 2 x - 3$
$x = 3$

Insert x's value back into first equation, and solve for y:

$2 \cdot 3 = 3 \cdot y$
$y = 2$

Solution is: $x = 3 , y = 2$