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

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

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

$(-6,1)$