The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.

(A) Always
(B) Sometimes
(C) Never

Question

The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.

(A) Always 
(B) Sometimes 
(C) Never

anonymous · Answer

I think this is C. @Hero @pooja195 @Sadworld

nincompoop · Answer

it means that the lines are the same

nincompoop · Answer

you will get a 0 = 0 
many infinite solutions

anonymous · Answer

So is it sometimes?

nincompoop · Answer

when would it have no solution?

anonymous · Answer

when the slopes are the same

anonymous · Answer

or when the lines are parallel

nincompoop · Answer

what is the definition of parallel lines?

anonymous · Answer

they have the same slopes but different y-intercepts and they do not intersect

nincompoop · Answer

but the condition you are given is with the SAME y-intercept 
meaning the lines are one in the same or infinitely intersecting

anonymous · Answer

that means that they are the same exact lines right? and same exact lines always have infinitely many solutions

nincompoop · Answer

yes

nincompoop · Answer

just try to solve it so you can see what is going on 
when you get a 0 = 0 it is infinitely many solution

anonymous · Answer

so that means that the answer is C (never) right?

nincompoop · Answer

that is my understanding. I could be wrong @TuringTest

anonymous · Answer

oh ok lol

anonymous · Answer

@dan815 @iambatman @uri @abb0t @perl

anonymous · Answer

THANK YOU NIN. @nincompoop I got the answer right :D