Posted by **lilmissluck** on Friday, January 7, 2011 at 5:41pm.

o How do you know when an equation has an infinite number of solutions?

o How do you know when an equation has no solution?

- algebra -
**Reiny**, Friday, January 7, 2011 at 6:59pm
If after you perform all proper steps and simplifications, the variables drop out and you end up with a TRUE statement, then there is an infinite number of solutions.

If after you perform all proper steps and simplifications, the variables drop out and you end up with a FALSE statement, then there is no solution.

e.g.

(x+1)^2 = x^2 + 2x + 1

x^2 + 2x + 1 = x^2 + 2x + 1

1=1 -----true, thus infinite numer of solutions

e.g.

3(2x + 5) = 6x+1

6x + 15 = 6x+1

15 = 1 ---- false, therefore no solution.

## Answer this Question

## Related Questions

- Pre-Algebra - Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the ...
- Algebra - Make a conjecture about the solution of a system of equations if the ...
- Math-2 questions - Describe the number of solutions for the equation. 5(x – 9...
- ALGEBRA - The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 ...
- CountIblis, can i bother you - Countiblis, i know that you might be busy do you ...
- math - compare and contrast: below are two equations. solve each equation and ...
- Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...
- Math! URGENT - Describe the number of solutions for the equation. -2(x-1)=2x-2 A...
- Math! URGENT - Describe the number of solutions for the equation. 5(x-9)=5x A. ...
- math - given the equation -3x +2y =4, Write another equation that will form a ...

More Related Questions