Solve the rational equation. \frac{x}{x-10}-6=\frac{10}{x-10}

Emeli Hagan 2021-09-27 Answered
Solve the rational equation.
xx106=10x10
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Expert Answer

Arnold Odonnell
Answered 2021-09-28 Author has 109 answers

Step 1
Consider the equation xx106=10x10.
multiply both sides by (x-10) and simplify it
(xx10)(x10)6(x10)=(10x10)(x10)
x6(x10)=10
Step 2
use distributive property on 6(x10) and combine the like term
x6x+60=10
5x+60=10
subtract 60 both sides and simplify it
5x+6060=1060
5x=50
Now divide both sides by -5 and simplify it
5x5=505
x=10
Hence, the value of x=10.

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