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

The answer to 4/(y+4)= y/3 is y=2,y=-6

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4/(y+4)= y/3

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

y = 2, y = - 6

Solution steps

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

Cross multiply

12 = (y + 4) y

Solve

12 = (y + 4) y : y = 2, y = - 6

y = 2, y = - 6

Verify Solutions

Find undefined (singularity) points:

y = - 4

Combine undefined points with solutions:

y = 2, y = - 6

\frac{x - 3}{x ^{2} - 9} = 1

\frac{3}{x} = 9

\frac{5}{x - 3} - \frac{2}{x - 2} = 11

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

\frac{2 x - 7}{x} = \frac{x - 3}{4}