Question

For what value of $c$, the linear equation $2x+cy=8$ has equal values of $x$ and $y$

Answer 1

Let $x=y=\alpha$

$\Rightarrow 2\alpha +c\alpha =8$

$\Rightarrow c=\frac{8-2\alpha }{\alpha }=\frac{8}{\alpha }-2$

Graph of $y=\frac{8}{x}-2$ would be $y=\frac{8}{x}$ shifted by 2 units downward.