# How do you find the solution of the system of equations x+y=6  and x-y=2?

May 19, 2015

Let's isolate one variable in one equation and take the value we find and substitute it in the other equation, as follows.

Let's isolate $x$ in the first, for example:

$x = 6 - y$

Nos, substituting it in the second:

$\left(6 - y\right) - y = 2$
$6 - 2 y = 2$
$- 2 y = - 4$
$y = \frac{1}{2}$

If $y = \frac{1}{2}$ and $x = 6 - y$, then

$x = 6 - \frac{1}{2}$
$x = \frac{11}{2}$