Question

Solve the following systems of equations:
$\frac{15}{u}+\frac{2}{v}=17$
$\frac{1}{u}+\frac{1}{v}=\frac{36}{5}$

Answer 1

Equation (1)$:\frac{15}{u}+\frac{2}{v}=17$

Equation (2)$\times 15:\frac{15}{u}+\frac{15}{v}=108$

Subtract two equations ;

$\Rightarrow \frac{13}{v}=91$

$\Rightarrow v=\frac{1}{7}$

Substitute y in equation 1 ;

$\Rightarrow u=5$