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

The answer to 9/(w+3)= 7/(w-9) is w=51

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9/(w+3)= 7/(w-9)

\frac{9}{w + 3} = \frac{7}{w - 9}

w = 51

Solution steps

\frac{9}{w + 3} = \frac{7}{w - 9}

Cross multiply

9 w - 81 = 7 w + 21

Move

81

to the right side

9 w = 7 w + 102

Move

7 w

to the left side

2 w = 102

Divide both sides by

2

w = 51

Verify Solutions

Find undefined (singularity) points:

w = - 3, w = 9

Combine undefined points with solutions:

w = 51

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x, g c = \frac{x + y}{x}

\frac{6}{x + 4} = 4 + \frac{4}{x - 2}

2 x^{2} + 3 x - 8 = x^{- 1}

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