MATH  INFINATE SOLUTIONS?? HELP!!
posted by Muzzybunny on .
Can anyone help me solve this problem; 2x + 3 = 2x + 4  1 and explain why there are an infinite number of solutions? Thanks!!

Can anyone show me a stepbystep on how to solve it, too? Thanks!

2x + 3 = 2x + 4  1
2x  2x + 3 = 3
2x  2x + 3  3 = 3  3
0 = 0 
Thank you one again Ms. Sue! You're truly amazing. :)

*once

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. 
Thank you Reiny too.