What is the answer to (14)/(3y+5)= 3/y ?

The answer to (14)/(3y+5)= 3/y is y=3

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(14)/(3y+5)= 3/y

\frac{14}{3 y + 5} = \frac{3}{y}

y = 3

Solution steps

\frac{14}{3 y + 5} = \frac{3}{y}

Cross multiply

14 y = 9 y + 15

Move

9 y

to the left side

5 y = 15

Divide both sides by

5

y = 3

Verify Solutions

Find undefined (singularity) points:

y = - \frac{5}{3}, y = 0

Combine undefined points with solutions:

y = 3

\frac{4}{x} = - \frac{7}{x + 1}

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

x, \frac{x + y}{x - y} = - 7

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

\frac{4}{15 x} = \frac{x}{15}