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

The answer to 5/(x+9)= 3/(x-7) is x=31

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5/(x+9)= 3/(x-7)

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

x = 31

Solution steps

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

Cross multiply

5 x - 35 = 3 x + 27

Move

35

to the right side

5 x = 3 x + 62

Move

3 x

to the left side

2 x = 62

Divide both sides by

2

x = 31

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 7

Combine undefined points with solutions:

x = 31

3 x^{2} - \frac{3}{x ^{4}} = 0

- \frac{7}{2 x} + \frac{1}{2} = 1

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

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

\frac{3 V}{V ^{3}} = - 0.004