What is the answer to 3/(x-5)= 4/(x+5) ?

The answer to 3/(x-5)= 4/(x+5) is x=35

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3/(x-5)= 4/(x+5)

\frac{3}{x - 5} = \frac{4}{x + 5}

x = 35

Solution steps

\frac{3}{x - 5} = \frac{4}{x + 5}

Cross multiply

3 x + 15 = 4 x - 20

Move

15

to the right side

3 x = 4 x - 35

Move

4 x

to the left side

- x = - 35

Divide both sides by

- 1

x = 35

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 5

Combine undefined points with solutions:

x = 35

\frac{2}{( x - 1 ) ^{3}} = 0

y = \frac{12}{1 - x}, x

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

x, y = 3 w - \frac{v}{4 x}

\frac{- 8}{7 x} + 1 = \frac{5}{7}