## kliz21 3 years ago [6.01] You graph a system of equations and get two lines that are parallel. Explain what this tells you about the: 1.solution to the system 2.the two equations 3.the result if the system was solved algebraically

1. Romero

There is a solution to the system if the lines cross each other. Do parallel lines ever cross each other?

2. kliz21

no they dnt

3. Romero

Great so there is no solution for parallel lines. That is the answer for the first one.

4. Romero

What can you tell me of the slope of two parallel lines?

5. kliz21

there the same ? right ?

6. Romero

Yes you are correct. So if you set up both equations in this form y=mx+b where m is the slope we will know that both equations will have the same m

7. Romero

That's for the second part. Not sure about the last. We also know that they don't have a solution

8. Romero

We can try to solve it but we will not get an answer. It will end up something in the lines of 0=some number other than zero and we know that 0 can't equal a number so that means there is no solution.

9. Romero

I think that's what it means.....idk hope I helped you out.

10. kliz21

what evers good thank you ^,^ !