Question

How can i get an elimination out of this equation? i think its c but im not sure

Answer 1

We have the system of equations

`\begin{cases}x+8y=2 \\ -2x+8y=20\end{cases}`

We can solve it subtraction, the first equation minus the second equation

`\begin{gathered} x+8y-(-2x+8y)=2-20 \\ \\ x+8y+2x-8y=-18 \\ \\ x+2x=-18 \\ \\ 3x=-18 \\ \\ x=(-18)/(3)=-6 \end{gathered}`

Therefore x = -6, we can now find the value of y

`\begin{gathered} x+8y=2\Rightarrow-6+8y=2 \\ \\ -6+8y=2 \\ \\ 8y=8 \\ \\ y=1 \end{gathered}`

Therefore the solution is

`(-6,1)`