# How do solve the following linear system?:  x+4y=3 , x+2y=1?

Jan 9, 2017

$x = \frac{5}{3}$
$y = \frac{1}{3}$

#### Explanation:

x + 4y = 3 (1)
x - 2y = 1 (2)
Subtract (2) from (1), we get
6y = 2
$y = \frac{2}{6} = \frac{1}{3}$
$x = 1 + 2 y = 1 + \frac{2}{3} = \frac{5}{3}$