How do you solve the following system?: $2x +3y =-5 , -2x -12y = 4$

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Answer 1 · 2016-01-23T19:55:38

$2x+3y=-5.................(i)$
$-2x-12y=4................(ii)$

Add $(i)$ and $(ii)$

$implies 2x-2x+3y-12y=-5+4$
$implies -9y=-1$

$impliesy=1/9$

Put $y=1/9$ in $(i)$

$implies 2x+3*1/9=-5$

$implies 2x+1/3=-5$

$implies 6x+1=-15$
$implies 6x=-16$

$implies x=-8/3$

How do you solve the following system?: 2x +3y =-5 , -2x -12y = 4 2x +3y =-5 , -2x -12y = 4