# Write a system of equations given the graph of the function

And it's going to sit on the line.

D The system has infinite solutions. In the next few videos, we'll see more algebraic ways of solving these than drawing their two graphs and trying to find their intersection points.

It looks like this is the same point right there, that this is the point 3 comma 3.

B Correct. Yes, the slope of both lines is 0. So every time we go 1 to the right, we go down 1. So if we check it into the first equation, you get 3 is equal to 3 times 3, minus 6.

## Solving systems of linear equations by graphing calculator

I'll try to do it as precisely as I can. D The system has infinite solutions. And let's see if we can figure out what that point is. Each of them constrain our x's and y's. So we were able to solve this system of equations. So every time you move 1, you go up 3. You will solve a system using substitution. So the line will look something like that. I should have just copied and pasted some graph paper here, but I think this'll do the job.

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