# How do you solve the system of equations 3x - y = 14 and 2x + y = 11?

May 18, 2018

$x = 5$ and $y = 1$

#### Explanation:

After summing 2 equation for eliminating $y$,

$3 x - y + 2 x + y = 14 + 11$

$5 x = 25$, so $x = 5$

Hence, $2 \cdot 5 + y = 11$ or $10 + y = 11$. Thus $y = 1$