Question

Solve the following systems of equations:
$\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}$
$\frac{4}{x}+\frac{9}{y}=\frac{21}{xy},x\ne 0,y\ne 0$

Answer 1

Equation (1) :$2y+3x=9$

Equation (2):$4y+9x=21$

Multiply equation (1) by 2 and Subtract both equations ;

$3x=3$

$\Rightarrow x=1$

Substitute x in equation 1 ;

$\Rightarrow y=3$