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

1 Answer

Answer:

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)#