What is the answer to (10)/x+3/(x-6)=1 ?

The answer to (10)/x+3/(x-6)=1 is x=15,x=4

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(10)/x+3/(x-6)=1

\frac{10}{x} + \frac{3}{x - 6} = 1

x = 15, x = 4

Solution steps

\frac{10}{x} + \frac{3}{x - 6} = 1

Multiply by LCM

10 (x - 6) + 3 x = x (x - 6)

Solve

10 (x - 6) + 3 x = x (x - 6) : x = 15, x = 4

x = 15, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 6

Combine undefined points with solutions:

x = 15, x = 4

\frac{1}{4 x} - \frac{1}{4} = \frac{1}{2}

\frac{5}{x} - 4 = x

x + \frac{8}{x} = 9

\frac{9}{3 x} = \frac{- 6}{2}

\frac{3 x + 1}{x} = \frac{1}{x} + 3

What is the answer to (10)/x+3/(x-6)=1 ?
The answer to (10)/x+3/(x-6)=1 is x=15,x=4
Solve for x: (10)/x+3/(x-6)=1
The solution is x=15,x=4