Question

Use Elimination to solve this problem:-4x+2y=-124x+8y=-24

Answer 1

`\begin{gathered} -4x+2y=-12 \\ 4x+8y=-24 \end{gathered}`

we add the two equations to eliminate the variable x

`\begin{gathered} -4x+2y=-12 \\ 4x+8y=-24 \\ ----------- \\ 0x+10y=-36 \end{gathered}`

now solve y

`\begin{gathered} 10y=-36 \\ y=-(36)/(10) \\ \\ y=-(18)/(5) \end{gathered}`

now we can reaplce y on any equation to solve x, i will replace on the first equation

`-4x+2(-(18)/(5))=-12`

do the operations on solve for x

`\begin{gathered} -4x-(36)/(5)=-12 \\ \\ -4x=-12+(36)/(5) \\ \\ -4x=-(24)/(5) \\ \\ x=((24)/(5))/(4) \\ \\ x=(6)/(5) \end{gathered}`

so, the solution point is

`((6)/(5),-(18)/(5))`