Question

Find a common solution for the system of equations given below:
-1/4x+y=-2
-x+4y=-8

Answer 1

`\left\{\begin{array}{ccc}-(1)/(4)x+y=-2&|\cdot4\\-x+4y=-8\end{array}\right\\\\\left\{\begin{array}{ccc}-x+4y=-8\\-x+4y=-8\end{array}\right\\\\-x+4y=-8\ \ \ \ |+x\\4y=x-8\ \ \ \ |:4\\y=(1)/(4)x+2\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\\\y=(1)/(4)x+2\end{array}\right`