Question

$\frac{ax}{b}-\frac{by}{a}=a+b$ ; $ax-by=2ab$

Answer 1

$\frac{ax}{b}-\frac{by}{a}=a+b$ ----------- (1)
ax - by = 2ab -------------(2)
By dividing the second equation by 'a'
$\frac{ax}{b}-\frac{by}{a}=a+b$ ----------- (1)
x - $\frac{by}{a}$ = 2b -------------(2)
Subtracting equation (2) from equation (1)
$\frac{ax}{b}-x=a+b-2b$

$\frac{ax-bx}{b}=a-b$

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

$x=b$