How many solutions does a linear system have, if the lines are intersecting?
0
1
2
infinitely many

I think it's 2...because 2 intersecting lines with 2 different plots cant share the same solution

Question

How many solutions does a linear system have, if the lines are intersecting?  
0   
1   
2   
infinitely many

I think it's 2...because 2 intersecting lines with 2 different plots cant share the same solution

igreen · Answer

Two lines intersecting..one solution.

anonymous · Answer

1. xD

igreen · Answer

If they're the same line, they have infinitely many.

If they're parallel, they have 0.

anonymous · Answer

Weeeeell i was close >.>

igreen · Answer

If they intersect, they have 1.

anonymous · Answer

Alright thanks

anonymous · Answer

Close indeed. xD

turingtest · Answer

to maybe give you some insight as to why that means that, think of just a line|dw:1405110229381:dw|all of the points on that line are the solution to some equation of the form y=mx+b. there are infinite solutions to the equation, represented by infinite points on the line
another line is another set of solutions for another equation. they intersect at *exactly one point*

turingtest · Answer

|dw:1405110330192:dw|since each point is a solution, this means there is exactly *one* solution to the system of the two equations

anonymous · Answer

Yeah, I figured after they said one. I was gonna ask ''Is the solution the spot as to where they touch?'' but I told myself I already knew the answer to that question.

turingtest · Answer

good, indeed the solution is the point where they touch

anonymous · Answer

Well, thank you :)

turingtest · Answer

welcome!