Question

Solve for the following system by using Elimination4x-2y=86x+6y=30

Answer 1

System

$\begin{gathered} 4x-2y=8 \\ 6x+6y=30 \end{gathered}$$\begin{gathered} 3(4x-2y)=8 \\ 6x+6y=30 \\ \\ 12x-6y=24 \\ + \\ 6x+6y=30 \\ \\ 12x+6x-6y+6y=24+30 \\ 18x=54 \\ x=3 \end{gathered}$

Now, for y

$\begin{gathered} 4x-2y=8 \\ -2y=8-4x \\ 2y=4x-8 \\ y=\frac{4x-8}{2} \\ y=\frac{4\cdot3-8}{2} \\ y=\frac{12-8}{2} \\ y=\frac{4}{2} \\ y=2 \end{gathered}$