Question

Solve the following systems of equations:
$\frac{x}{3}+\frac{y}{4}=11$
$\frac{5x}{6}-\frac{y}{3}=-7$

Answer 1

Equation (1) : $4x+3y=132$

Equation (2) : $5x-2y=-42$

Equation (1)×2 : $8x+6y=264$

Equation (2)×3 : $15x-6y=-126$

Add two equations ;

$\Rightarrow 23x=138$

$\Rightarrow x=6$

Substitute x in equation (1),we get ;

$\Rightarrow y=36$