# How do you solve the system of linear equations  x+y = 16 and  x-y = -2?

Feb 24, 2016

$x = 7$ and $y = 9$

#### Explanation:

Just add the two linear equations $x + y = 16$ and x−y=−2

This gives us

$x + y + x - y = 16 - 2$ or

$2 x = 14$ i.e. $x = 7$.

Putting this in first equation, $7 + y = 16$, hence

$y = 16 - 7 = 9$

Hence, $x = 7$ and $y = 9$