What is the answer to 7/9 = x/(x-10) ?

The answer to 7/9 = x/(x-10) is x=-35

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7/9 = x/(x-10)

\frac{7}{9} = \frac{x}{x - 10}

x = - 35

Solution steps

\frac{7}{9} = \frac{x}{x - 10}

Cross multiply

7 x - 70 = 9 x

Move

70

to the right side

7 x = 9 x + 70

Move

9 x

to the left side

- 2 x = 70

Divide both sides by

- 2

x = - 35

Verify Solutions

Find undefined (singularity) points:

x = 10

Combine undefined points with solutions:

x = - 35

\frac{3}{( x + 3 ) ^{2}} = 0

\frac{5}{2 x} = \frac{4}{x + 2}

\frac{15}{x} - 2 = 3

\frac{9}{n} = \frac{10}{7}

\frac{9}{10} = \frac{10}{x + 3}