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

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Question 363716: My question is How do you know when an equation has no solution?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
When at some point in the solution you get a false statement. For example, try solving %283x+-+5%29%2F3+=+x+-+2. Then by cross-multiplication, 3x-5 = 3x - 6, or -5 = -6, which is a false statement. Thus the equation has no solution.