# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent x+y= 10 and x-y= -8?

May 7, 2017

$x = 1$

$y = 9$

#### Explanation:

$x + y = 10$ $\left(1\right)$

$x - y = - 8$ $\left(2\right)$

$\left(1\right) + \left(2\right)$

$2 x = 2$

$x = 1$

$y + 1 = 10$

$y = 9$

Now we need to check our values in the second equation:

$1 - 9 = - 8 = \left(2\right)$

We have proven that this system is consistent