What is the answer to 3/(m-1)= 6/(3m+8) ?

The answer to 3/(m-1)= 6/(3m+8) is m=-10

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3/(m-1)= 6/(3m+8)

\frac{3}{m - 1} = \frac{6}{3 m + 8}

m = - 10

Solution steps

\frac{3}{m - 1} = \frac{6}{3 m + 8}

Cross multiply

9 m + 24 = 6 m - 6

Move

24

to the right side

9 m = 6 m - 30

Move

6 m

to the left side

3 m = - 30

Divide both sides by

3

m = - 10

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

m = - 10

\frac{2 x}{x + 9} = \frac{2 x - 9}{x}

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

\frac{6 x + 24}{x + 4} = 5

\frac{1}{2 x - 1} = \frac{4}{8 x - 4}

\frac{20 - x}{x} = x

What is the answer to 3/(m-1)= 6/(3m+8) ?
The answer to 3/(m-1)= 6/(3m+8) is m=-10
Solve for m: 3/(m-1)= 6/(3m+8)
The solution is m=-10