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

Jul 5, 2017

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

Explanation:

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

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

Combine these two, yielding:

$52 x = 26$

$x = \frac{1}{2}$ This is your x. When you put this value in the first equation

$6 \times \left(\frac{1}{2}\right) + 2 y = 2$

$3 + 2 y = 2$

$2 y = 2 - 3$

$2 y = - 1$

$y = - \frac{1}{2}$

Your solution: $x = \frac{1}{2}$ and $y = - \frac{1}{2}$