### Home > CAAC > Chapter 6 > Lesson 6.2.5 > Problem6-83

6-83.

Candice is solving this system:

 $2x−1=3y$ $5(2x−1)+y=32$
1. She notices that each equation contains the expression $2x−1$. Can she substitute $3y$ for $2x−1$? Why or why not?

Try it for yourself. Does it work?

2. Substitute $3y$ for $2x−1$ in the second equation to create one equation with one variable. Then solve for $x$ and $y$.

$y=2$; use this information to solve for $x$.