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
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