# How do you solve x + y = 7/10 and x - y = 5/14?

Apr 3, 2018

$x = \frac{37}{70}$
$y = \frac{6}{35}$

#### Explanation:

$x + y = \frac{7}{10}$ --- (1)
$x - y = \frac{5}{14}$ --- (2)

(1) + (2)
$2 x = \frac{37}{35}$
$x = \frac{37}{70}$ --- (3)

Sub (3) into (1)
$\frac{37}{70} - y = \frac{5}{14}$
$y = \frac{6}{35}$