solve the system of equations by graphing and then classify them. x+y=16 x-y=-2

x=7 and y=9

What are the options for classifying them? Do you know?

It doesn't give any that is the entire problem?????

They are both linear... Maybe that is the answer?

I apologize it says classify the system. I don't know if that makes a difference?

Oh okay. It looks like they intersect once

rachel, do you understand how the solution was found?

Systems of equations can either be parallel (they never intersect) they intersect once (two lines with different slopes) or they intersect an infinite number of times (they are actually the same line)

That is, only if the two equations are linear.

Typically they are then classified as: Consistent & Dependent (the same line with infinite solutions) Consistent & Independent (they have one intersection point) Inconsistent (they are parallel and never intersect)

http://www.sparknotes.com/math/algebra1/systemsofequations/section1.html That is a good page that explains it. And remember, it is courteous to give out medals for good answers

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