How do you solve $5x-3y=-14$ and $x-3y=2$ using elimination?

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Answer 1 · 2014-11-05T15:12:16

${(5x-3y=-14),(x-3y=2):}$

by subtracting the second equation from the first equation,

$=> 4x=-16$

by dividing by 4,

$=> x=-4$ .

By plugging $x=-4$ into the second equation,

$(-4)-3y=2$

by adding $4$ ,

$=> -3y=6$

by dividing by $-3$ ,

$=> y=-2$

Hence, the solution is: $(x,y)=(-4,-2)$ .

I hope that this was helpful.

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