# How do you solve the following system:  3x – y = 28 , 4x + y = 2 ?

Feb 13, 2016

Solution is $x = \frac{30}{7}$ and $y = - \frac{106}{7}$

#### Explanation:

Just adding the two equations 3x–y=28 and $4 x + y = 2$

gives us $7 x = 30$ or $x = \frac{30}{7}$.

Putting this in second equation, we get

$4 \cdot \frac{30}{7} + y = 2$ or $y = 2 - \frac{120}{7} = - \frac{106}{7}$

Hence solution is $x = \frac{30}{7}$ and $y = - \frac{106}{7}$.