The graph of a system of equations with different slopes will have no solutions.

Question

anonymous · Answer

This can be true, yet it is not always true, can you figure out various scenarios?

texaschic101 · Answer

If it is different slopes, won't it just have one solution ??

anonymous · Answer

not necessary @texaschic101, consider a 3x3 system of linear equations with different slope, while you're right that two lines of different slope always intersect and therefore must have one unique solution, this does not have to be true for the n times n case.

texaschic101 · Answer

oh....ok. I was just thinking of a 2x2 system

anonymous · Answer

the question doesn't specify this, if the question giver however is talking about that specific case then of course you'd be right :-)

texaschic101 · Answer

so true...the question does not specify this