What is the answer to 4/(y-3)= 6/(y+3) ?

The answer to 4/(y-3)= 6/(y+3) is y=15

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4/(y-3)= 6/(y+3)

\frac{4}{y - 3} = \frac{6}{y + 3}

y = 15

Solution steps

\frac{4}{y - 3} = \frac{6}{y + 3}

Cross multiply

4 y + 12 = 6 y - 18

Move

12

to the right side

4 y = 6 y - 30

Move

6 y

to the left side

- 2 y = - 30

Divide both sides by

- 2

y = 15

Verify Solutions

Find undefined (singularity) points:

y = 3, y = - 3

Combine undefined points with solutions:

y = 15

4 = \frac{- 5 x + 8}{2 x - 6}

\frac{6}{2 k - 6} = \frac{1}{3}

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}

\frac{600}{x + 10} - 5 = x + 7

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