What is the answer to 8/(m-9)= 6/(m-8) ?

The answer to 8/(m-9)= 6/(m-8) is m=5

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8/(m-9)= 6/(m-8)

\frac{8}{m - 9} = \frac{6}{m - 8}

m = 5

Solution steps

\frac{8}{m - 9} = \frac{6}{m - 8}

Cross multiply

8 m - 64 = 6 m - 54

Move

64

to the right side

8 m = 6 m + 10

Move

6 m

to the left side

2 m = 10

Divide both sides by

2

m = 5

Verify Solutions

Find undefined (singularity) points:

m = 9, m = 8

Combine undefined points with solutions:

m = 5

\frac{10}{9} = \frac{3}{q}

\frac{3}{x + 1} = \frac{7}{x + 5}

\frac{x - 2}{2 x - 8} = \frac{5}{8}

a + 24 = - \frac{144}{a}

x, \frac{a - c}{x - a} = m