Question

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

Answer 1

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 `(7,0), (0,-7)`

and for `x+y=5`, we have `(5,0), (0,5)`

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 `(6,-1)`