SOLUTION: How do you know when an equation has no solution?

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Question 160198: How do you know when an equation has no solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Your solution leads to a statement that doesn't make sense.
Let me use an example,
x%2B1=x%2B2
Subtract x from both sides.
1=2
That doesn't make sense and is not true.
There is no x (no solution) such that this equation holds.
Hope it helps.