Question

Use elimination to solve and match each system of equations to the correct solution.

Answer 1

$\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}$

$\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}$     (adding the second equation to the first one)

$\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}$