Candice is solving this system:  

$\begin{array}{l} 2x - 1 = 3y \\ 5\left(2x - 1\right) + y = 32 \\ \end{array}$

1. She notices that each equation contains the expression $2x-1$. Can she substitute $3y$ for $2x-1$? Why or why not?

   Hint (a):

   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 $y$.

• Hint (b):

  Remember to check your answers.

  Answer (b):

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