Answers

2016-08-01T10:45:14+08:00
The common denominator here will be x(x – 2), and x cannot be zero or 2. I can solve this equation by multiplying through on both sides of the equation by this denominator:10 + 4(x – 2) = 5(x) 
10 + 4x – 8 = 5x 
4x + 2 = 5x 
2 = x
Or I can solve by converting to the common denominator and then solving the numerators:10 + (4x – 8) = 5x 
10 + 4x – 8 = 5x 
4x + 2 = 5x 
2 = x
Either way, the answer I get is:x = 2 Copyright © Elizabeth Stapel 2003-2011 All Rights ReservedHowever, I need to check this solution with the original equation. Do you see that I'm going to have a problem with x = 2? This value would cause division by zero in the original equation! Since the only possible solution causes division by zero, then this equation really has no solution.
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