What is the answer to 1-8/(m-5)= 3/m ?

The answer to 1-8/(m-5)= 3/m is m=15,m=1

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1-8/(m-5)= 3/m

1 - \frac{8}{m - 5} = \frac{3}{m}

m = 15, m = 1

Solution steps

1 - \frac{8}{m - 5} = \frac{3}{m}

Multiply by LCM

m (m - 5) - 8 m = 3 (m - 5)

Solve

m (m - 5) - 8 m = 3 (m - 5) : m = 15, m = 1

m = 15, m = 1

Verify Solutions

Find undefined (singularity) points:

m = 5, m = 0

Combine undefined points with solutions:

m = 15, m = 1

\frac{5}{x} = \frac{5}{x ^{2}}

\frac{3}{6} = \frac{7}{w}

5 - \frac{x}{2} = \frac{12}{x}

x, \frac{6 y + 1}{x} = 6

\frac{3}{2 + x} = x