# What is x and y in this system of equations: y+x =6 and 3y -x = 3?

Apr 23, 2017

$x = \frac{15}{4}$
$y = \frac{9}{4}$

#### Explanation:

Solve using the method of addition/ elimination

$y + x = 6$
$3 y - x = 3$

Add the first equation to the second

$4 y = 9$

$y = \frac{9}{4}$

Substitute the value of $y$ into any of the orignila equations to solve for $x$

$y + x = 6$

$\frac{9}{4} + x = 6$

$x = \frac{15}{4}$

Writing that as a point would be $\left(x , y\right)$

$\Rightarrow \left(\frac{15}{4} , \frac{9}{4}\right)$