Question

Solve the following systems of equations:
$\frac{3}{x}-\frac{1}{y}=-9$
$\frac{2}{x}+\frac{3}{y}=5$

Answer 1

Equation (1)$\times 2:\frac{6}{x}-\frac{2}{y}=-18$

Equation (2)$\times 3:\frac{6}{x}+\frac{9}{y}=15$

Subtract two equations ;

$\Rightarrow \frac{11}{y}=33$

$\Rightarrow y=\frac{1}{3}$

Substitute y in equation 1 ;

$\Rightarrow x=\frac{-1}{2}$