Question

How many solutions does the system of equations have?



A.
The system has infinitely many solutions.

B.
The system has no solution.

C.
The system has exactly one solution.

http://static.k12.com/calms_media/media/1299000_1299500/1299409/1/d593a2f2a99408efe2c2e98220c1758e23c1f4bb/143718.jpg

Answer 1

Well, the lines are parallel, and therefore, will never cross.
If they cross, that means there's a solution. So if they don't cross at all, then..
You can fill in the blank. :)

Answer 2

Actually, one sec...

Answer 3

I might be wrong.

Answer 4

Hm. I take back what I say about the lines being parallel..

Answer 5

5x - 5y = 20 is equivalent to x - y = 4

So the system can be expressed as

x - y = 2
x - y = 4

This implies that both lines have the same slope. So we can probably conclude something from that.

Answer 6

@Hero: I'm using simultaneous/system of equations, and I'm not coming up with any solutions xP

Answer 7

There's a general statement that is understood about two lines that have the same slope @anitasonia98. The "something" that we conclude is related to that.

Answer 8

Lines with the same slope but different y intercepts are parallel lines. Parallel lines have no solutions because they never cross.