Posted by **Ann** on Thursday, May 15, 2008 at 7:40pm.

How do you know when an equation has infinitely many solutions?

How do you know when an equation has no solution?

- Algebra help please! -
**Reiny**, Thursday, May 15, 2008 at 8:17pm
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

- Algebra help please! -
**Ann**, Thursday, May 15, 2008 at 10:36pm
Thank you

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