Question

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

Answer 1

$3x+4y=-17$ (1)

$5x+2y=-19$ (2)

Multiplying (2) by 2

$10x+4y=-38$ (3)

Subtracting (1) from (3)

$7x=-21$

$x=-3$ (4)

Substituting (4) in (1)

$3(-3)+4y=-17$

$4y=-8$

$y=-2$

Hence the solution is $x=-3$ and $y=-2$.