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=(4x-8)/(2) \\ y=(4\cdot3-8)/(2) \\ y=(12-8)/(2) \\ y=(4)/(2) \\ y=2 \end{gathered}`