# How do you solve the system by graphing x – y = 7 and x + y = 5?

See below

#### Explanation:

I think the most straightforward way to graph these two lines is to set one variable to 0 and find the value of the other one. Doing so will give you the intercepts, both $x$ and $y$ - then connect them up and find the point of intersection.

And so for $x - y = 7$, we have $\left(7 , 0\right) , \left(0 , - 7\right)$

and for $x + y = 5$, we have $\left(5 , 0\right) , \left(0 , 5\right)$

Connecting the two sets of dots up, we get:

graph{(x-y-7)(x+y-5)=0[-5,15,-10,7]}

And now we can see the point of intersection at $\left(6 , - 1\right)$