How do you solve $6x + 2y = 2$ and $5x - 7y = 6$ ?

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Answer 1 · 2017-07-05T08:19:09

Multiply the first equation by 7 and the second equation by 2.

When you multiply the first equation by 7 and the second by 2:

$42x + 14 y = 14$
$10x - 14 y = 12$

Combine these two, yielding:

$52x = 26$

$x=1/2$ This is your x. When you put this value in the first equation

$6times(1/2) + 2y= 2$

$3 + 2y = 2$

$2y = 2-3$

$2y = -1$

$y=-1/2$

This is your y.

Your solution: $x=1/2$ and $y=-1/2$

How do you solve 6x + 2y = 26x + 2y = 2 and 5x - 7y = 65x - 7y = 6?