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About Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience
Over 15 years teaching at the college level.

Organizations belong to
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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Basic Math - Math

Expert: Abe Mantell - 7/9/2008

Question
How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?

Answer
Hello Awilda,

When you get something that is always true, there are INFINITELY many
solutions. For example: 3x-4=5x-2x-5+1 ==> 3x-4=3x-4 ==> 0=0

When you get an impossible relation, that would mean NO SOLUTION.
For example: 3x-4=5x-2x+1 ==> 3x-4=3x+1 ==> -4=1

OK?

Abe

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