Question

You graph a system of equations and get two lines that are parallel. Explain what this tells you about the:

solution to the system
the two equations
the result if the system was solved algebraically

Answer 1

When you solve a system of linear equations, what you're finding in graphical terms is the point where those two lines intersect.

So what does this mean if the lines are parallel?

Answer 2

one solution?

Answer 3

Where do parallel lines intersect?

Answer 4

at the center of 0?

Answer 5

... What?

Answer 6

oh m(_ _")m

Answer 7

Now, let's think about this.

The solution to a system of equations is where the two lines intersect.
Parallel lines never intersect.

So what's that mean? :D

Answer 8

No solution

Answer 9

Yes.

Answer 10

So thats pretty much my answer lol?

Answer 11

That's the first part, anyway.
You can expand upon the ramifications of that for the second part.
And I'm not actually sure what the third part is asking but they probably just want you to show it algebraically or something.

Answer 12

exactly what does it mean by two equations? o:

Answer 13

The two equations in the system.

A system of linear equations is two equations, i.e., two lines, and you are trying to find the solution, i.e., the x and y value where those two lines intersect.

Answer 14

so i just write an equation? or rather just explain it?

Answer 15

You explain what the fact that there are no solutions tells you about the two equations.

Answer 16

oh okay did u get the last part it was telling me to explain?

Answer 17

I think what they're trying to ask is what you'd end up with if you tried to solve it algebraically.

Answer 18

Oh alright, well thanks for your help. I appreciate it