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

## Answer this Question

## Related Questions

- math - Decide whether the each equation has one solution, no solutions,or ...
- Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...
- math - Decide whether each equation has one solution, no solutions, or ...
- ALGEBRA - The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 ...
- 7th grade math Ms. Sue please - 1. 2(x – 3) = 2x (1 point) one solution no ...
- My Math - ecide whether each equation has one solution, no solutions, or ...
- MAT222 - -x+2y=-2 x-2y=2 the system has no solution the system has a unique ...
- Algebra - How many real number solutions does the equation have? y=-4x^2+7x-8 A...
- ALGEBRA Help Please - Decide whether each equation has one solution, no solution...
- algebra - How do you know when an equation has infinitely many solutions? How do...