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

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

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

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

t = 15

Solution steps

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

Cross multiply

4 t + 12 = 6 t - 18

Move

12

to the right side

4 t = 6 t - 30

Move

6 t

to the left side

- 2 t = - 30

Divide both sides by

- 2

t = 15

Verify Solutions

Find undefined (singularity) points:

t = 3, t = - 3

Combine undefined points with solutions:

t = 15

\frac{1}{x + 3} = 0

h, r + \frac{3 Q}{h} = t

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

\frac{4}{5 a - 8} = a + 2

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