How do you solve the following system?: $5x + 2y =1 ,3x-7y=-12$

Question

1912 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-06T16:21:01

$x=-17/41$

$y= 63/41$

$5 * x + 2 * y = 1$

$3 * x - 7 * y=-12$

Multiply the first equation by $3.5$

$17.5 * x + 7 * y = 3.5$

$3 * x - 7 * y=-12$

Add the two equations to get

$20.5 * x + cancel(7y) - cancel(7y) = -8.5$

$x = -8.5/20.5 = -17/41$

This means that you have

$3 * (-17/41) - 7y = -12$

$y = (12 - 3 * 17/41)/7 = 63/41$

How do you solve the following system?: 5x + 2y =1 ,3x-7y=-125x + 2y =1 ,3x-7y=-12