Question

Solve the following systems of equations:
$\frac{1}{7x}+\frac{1}{6y}=3$
$\frac{1}{2x}-\frac{1}{3y}=5$

Answer 1

Equation (1)$\times \frac{1}{2}:\frac{1}{14x}+\frac{1}{12y}=\frac{3}{2}$.......1

Equation (2)$\times \frac{1}{7}:\frac{1}{14x}-\frac{1}{21y}=\frac{5}{7}$.....2

Subtract two equations ;

$\Rightarrow \frac{11}{84y}=\frac{11}{14}$

$\Rightarrow y=\frac{1}{6}$

Substitute y in equation 1 ;

$\Rightarrow x=\frac{1}{14}$