# How do you solve the system by addition x + y = 4 and x – y = 6?

Sep 3, 2016

$x = 5 , y = - 1$

#### Explanation:

$x + y = 4 - - - - - \left(1\right)$
$x - y = 6 - - - - - \left(2\right)$

$\left(1\right) + \left(2\right) \implies 2 x = 10 \implies x = 5$
substitute x=5 into (1) $\implies 5 + y = 4$
$\implies y = - 1$