# Algebra help please!

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

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asked by Ann
1. If the variable drops out, and you end up with a true statement, then there is an infinite number so solutions,
if the end statement is false, there is not solution

e.g.

2x - 4 = 2(x-2)
2x-4 = 2x-4
0 = 0 ..... infinite number of solutions

2x-4 = 2(x-5)
2x-4 = 2x-10
-4 = -10 ... false!, no solution

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posted by Reiny
2. Thank you

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posted by Ann
3. X^2+8x+10=0

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