Question

Solve for $x$ and $y$.
$\frac{10}{x+y}-\frac{2}{x+y}=4,\frac{15}{x+y}-\frac{5}{x+y}=-2$

Answer 1

Solve for x & y

$\frac{10}{x+y}-\frac{2}{x+y}=4$; $\frac{15}{x+y}-\frac{5}{x+y}=-2$

$\frac{10-2}{x+y}=4$; $\frac{15-5}{x+y}=-2$

$\frac{8}{4}=x+y$ ……..$\left(1\right)$; $\frac{10}{-2}=x+y$ ……….$\left(2\right)$

Solving $\left(1\right)$ & $\left(2\right)$

We get nothing

because $x+y=2$ & $x+y=-5$

Cannot exist at same time.