Posted by **Muzzybunny** on Thursday, January 24, 2013 at 11:04pm.

Can anyone help me solve this problem; 2x + 3 = 2x + 4 - 1 and explain why there are an infinite number of solutions? Thanks!!

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Muzzybunny**, Thursday, January 24, 2013 at 11:04pm
Can anyone show me a step-by-step on how to solve it, too? Thanks!

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Ms. Sue**, Thursday, January 24, 2013 at 11:11pm
2x + 3 = 2x + 4 - 1

2x - 2x + 3 = 3

2x - 2x + 3 - 3 = 3 - 3

0 = 0

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Muzzybunny**, Thursday, January 24, 2013 at 11:12pm
Thank you one again Ms. Sue! You're truly amazing. :)

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Muzzybunny**, Thursday, January 24, 2013 at 11:12pm
*once

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Reiny**, Friday, January 25, 2013 at 12:06am
If , when solving an equation, the variable drops out and

1. you end up with a true statement, then there will be an infinite number of solutions, and your equation is an identity

e.g. see above

2. you end up with a false statement , then there will be no solution

e.g. 2x +3 = 2x + 5

3 = 5 , which is false

thus , no solution.

- MATH -- INFINATE SOLUTIONS?? HELP!! -
**Muzzybunny**, Friday, January 25, 2013 at 6:59am
Thank you Reiny too.

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