How many solutions exist for the system y = 2x + 5 and y = -0.2x - 4?

Question

mathmale · Answer

One way of paraphrasing this question is:  
Do the lines intersect?  If so, in how many places?

the_fizicx99 · Answer

Well, if they intersect they have ONE solution.

If they're parallel they never intersect therefore DON'T have a solution

If they're on top of each other there is INFINITE solutions

anonymous · Answer

There is one solution since the first line has a positive slope and the other one has a negative slope.

the_fizicx99 · Answer

So there's only one solution :3

mathmale · Answer

tHe (???):   why not quickly graph both equations to determine whether your conclusion is justified or not?

the_fizicx99 · Answer

I did lol xD

mathmale · Answer

As Kev has pointed out, the slopes of the two eq'ns are different, and therefore ... ?

mathmale · Answer

And in how many places do your two lines intersect?

the_fizicx99 · Answer

I graphed it, it only gave me 1 intersection