# How do you solve the following linear system 2x - 6y = 2, 3x + 7y = 2 ?

Jul 1, 2018

$x = \frac{13}{16} , y = - \frac{1}{16}$

#### Explanation:

Multiplying the first equation by $- 3$ and adding to the second we get

$y = - \frac{1}{16}$
plugging this in the first equation we obtain
$x + \frac{3}{16} = 1$
so
$x = \frac{16}{16} - \frac{3}{16} = \frac{13}{16}$