Question

Solve the following system of equations by graphing.
x-y=7
x-y=5

What is the solution?
(6,-1)
no solution
infinite solutions
none of the above

I graphed them, but i have no idea what I'm looking for. I suck at math. I don't know what a solution is

Answer 1

That's what the graph looks like

Answer 2

If there is a solution, the lines will intersect and the point of intersection will be the solution because the point lies on both lines and therefore satisfies both equations.

Here the lines do not intersect. Therefore, there is no solution for this system of equations.

Answer 3

Thank you so much!

Answer 4

You are welcome. The lines do not intersect because they are parallel lines. So no solution.