Posted by **jasmine20** on Wednesday, January 3, 2007 at 8:38pm.

Countiblis, i know that you might be busy do you mind if i ask you the following for help.Only if you can please.

can you explain to me just one more thing so i can undestand it.

Now i have an equation which is :

3x = 3x + 5

which I know has no solution to it,

now whereas the equation 7x + 8 = 8 has zero as a solution.

What is the difference between a solution of zero and no solution?

If an equation has no solution then that means that no value for x will satisfy the equation. So, the equation

3x = 3x + 5

has no solutions.

Note that the value x = 0 is then also not a solution.

The equation

7x + 8 = 8

Does have a solution: x = 0. So, this is clearly a different situation than no solutions at all.

If you have no solutions then the number of solutions is zero. If you have one solution, say, x = 0, then the number of solutions is 1.

So, to confuse the two cases amounts to confusing the size of the set of all solutions with the solutions themselves.

I appreciate your help

## Answer This Question

## Related Questions

- bobpursly & countiblis,math - I thought that we can solve anything with ...
- countiblis,math - How did you get: x = 2; y = -1 for Directions: Sove the system...
- drawls, math help - can you explain to me just one more thing so i can undestand...
- math - just an algebra question. how would you solve: (3x^2 +5)(3x^2 +5) ^ means...
- Question about University (general). - Hello! I'm just trying to get an ...
- English - Literary Analysis: Author’s Voice Read the selection. Then, answer the...
- mistakes? - hm..I was wondering If someone (cough* me) makes mistakes in ...
- Physics - I just need to clarify something in my mind- I look at a graph and the...
- College Chemistry - How many orbitals have the following quantum numbers: n=6, l...
- Creative Writing. ms.sue - Has there ever been a time or situation when you had ...

More Related Questions