Question

2x - y = -22x + 4y = 8

Answer 1

To solve the given system of equations, we have to multiply the first equation by -1.

`\mleft\{\begin{aligned}-2x+y=2 \\ 2x+4y=8\end{aligned}\mright.`

Then, we sum them.

`\begin{gathered} -2x+2x+y+4y=2+8 \\ 5y=10 \\ y=(10)/(5) \\ y=2 \end{gathered}`

Then, we use this value to find x.

`\begin{gathered} 2x-y=-2 \\ 2x-2=-2 \\ 2x=-2+2 \\ 2x=0 \\ x=0 \end{gathered}`

Therefore, x is 0 and y is 2.