Question

Solve : $\frac{3x}{2}-\frac{5y}{3}=-2$, $\frac{x}{3}+\frac{y}{2}=\frac{13}{6}$

Answer 1

$\frac{3x}{2}-\frac{5y}{3}=-2\Rightarrow 9x-10y=-12$...(1)

$\frac{x}{3}+\frac{y}{2}=\frac{13}{6}\Rightarrow 2x+3y=13$...(2)

uatiion

Multiplying equation (1) by 3 and (2) by 10,we get

$27x-30y=-36$...(3)

$20x+30y=130$...(4)

Adding equation (3) and (4),we get

Gives, $y=3$

Using the value of y in equation (2), we get

$2x+3y-13=0$

$2x+3\left(3\right)-13=0$

$2x=13-9=4$

$x=2$