Question

Find the solution of given pair of linear equation by elimination method
$3x+4y=-17$ ...... (1)
$5x+2y=-19$ ....... (2)

Answer 1

$3x+4y=-17$ ........ (1)
$5x+2y=-19$ ........ (2)
Multiplying equation (2) by 2, we get
$10x+4y=-38$ ....... (3)
Subtracting equation (3) from equation (1), we have
$-7x=21$
$\Rightarrow x=-3$
Substituting $x=-3$ in equation (1), we get
$3(-3)+4y=-17$
$\Rightarrow -9+4y=-17$
$\Rightarrow 4y=-17+9=-8$
$\Rightarrow y=-\frac{8}{4}=-2$
$\therefore$ $(x,y)=(-3,-2)$ is the solution of the given pair of linear equations.