# MATH -- INFINATE SOLUTIONS?? HELP!!

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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!! -

Can anyone show me a step-by-step on how to solve it, too? Thanks!

• MATH -- INFINATE SOLUTIONS?? HELP!! -

2x + 3 = 2x + 4 - 1

2x - 2x + 3 = 3

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

0 = 0

• MATH -- INFINATE SOLUTIONS?? HELP!! -

Thank you one again Ms. Sue! You're truly amazing. :)

• MATH -- INFINATE SOLUTIONS?? HELP!! -

*once

• MATH -- INFINATE SOLUTIONS?? HELP!! -

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!! -

Thank you Reiny too.

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