Follow the suggested steps to solve the system by elimination $$\begin{gathered} \frac{3}{2}x = y + \frac{13}{2}\\ y-5= \frac{-7}{3}x \end{gathered}$$ First, clear the fractions: multiply the first equation by 2: and the second equation by 3.

• Step 1
  Write each equation in the form $Ax + By = C\text{.}$
• Step 2
  Eliminate the $y$-terms: Multiply each equation by an appropriate constant.
• Step 3
  Add the new equations and solve the result for $x\text{.}$
  $x=$
• Step 4
  Substitute your value for $x$ into the second equation and solve for $y\text{.}$
  $y=$
  The solution to the system is (Give the solution as an ordered pair.)