# How do you solve using linear combination: 3x-y=4, 2x+y=6?

Jan 1, 2017

$x = y = 2$

#### Explanation:

We have $3 x - y = 4$, and $2 x + y = 6$

If we add these equation 2gether:

$3 x - y + 2 x + y = 10$

$5 x = 10 ,$ and clearly, $x = 2$

We substitute the value back in the equations to find $y$, and clearly, $y = 2$.