Question

$\frac{2x}{a}+\frac{y}{b}=2$
$\frac{x}{a}-\frac{y}{b}=4$.

Answer 1

We are givenm

$\frac{2x}{a}+\frac{y}{b}=2---\left(1\right)$

$\frac{x}{a}-\frac{y}{b}=4---\left(2\right)$

Now, odd equation $\left(1\right)$ with equation $\left(2\right)$ we get

$\frac{3x}{a}=6\Rightarrow x=2a$ or $a=\frac{x}{2}$

now put $x=2a$ in the equation $\left(1\right)$

we get,

$\frac{2\left(2a\right)}{a}+\frac{y}{b}=2\Rightarrow \frac{y}{b}=2-4=-2$

$y=-2b$ or $b=\frac{-y}{2}$

$(x,y)=(2a-2b)$ or

$(a,b)=(\frac{x}{2},\frac{-y}{2})$