# Question 73bfa

Sep 22, 2016

x=5; y=2#

#### Explanation:

We are given two linear equations:

$2 x + y = 17$ $\left(i\right)$

$x - y = - 2$ $\left(i i\right)$

We ADD $\left(i\right)$ and $\left(i i\right)$, i.e.

$2 x + \cancel{y} + x - \cancel{y} = 15$

$3 x = 15$, thus $x = 5$, and substituting this back into $\left(i\right)$ or $\left(i i\right)$, and $y = 7$. Does this fit? Do not trust my arithmetic!