Question

-x+2y=-158x-2y=-20After performing your first step in Elimination, what is the resulting equation?Then solve for x

Answer 1

Let:

`\begin{gathered} -x+2y=-15_{\text{ }}(1) \\ 8x-2y=-20_{\text{ }}(2) \end{gathered}`

Using elimination:

`\begin{gathered} (1)+(2) \\ -x+8x+2y-2y=-15-20 \\ 7x=-35 \end{gathered}`

Solve for x:

Divide both sides by 7:

`\begin{gathered} (7x)/(7)=-(35)/(7) \\ x=-5 \end{gathered}`

Replace the value of x into (1):

`\begin{gathered} 5+2y=-15 \\ 2y=-20 \\ y=-(20)/(2) \\ y=-10 \end{gathered}`