What is the answer to 9/5 = 3/(x+7) ?

The answer to 9/5 = 3/(x+7) is x=-16/3

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9/5 = 3/(x+7)

\frac{9}{5} = \frac{3}{x + 7}

x = - \frac{16}{3}

Solution steps

\frac{9}{5} = \frac{3}{x + 7}

Cross multiply

9 (x + 7) = 15

Divide both sides by

9

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

Move

7

to the right side

x = - \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - \frac{16}{3}

\frac{3}{( 1 - c )} = 4

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

\frac{5}{x - 1} = \frac{3}{2 x + 3}

k^{3} + 3 = \frac{16}{k ^{2} - 3}

\frac{2}{x} - \frac{1}{x + 3} = 1