What is the answer to 5/(3t)=3-(6/(15t)) ?

The answer to 5/(3t)=3-(6/(15t)) is t= 31/45

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5/(3t)=3-(6/(15t))

\frac{5}{3 t} = 3 - (\frac{6}{15 t})

t = \frac{31}{45}

Decimal Notation

t = 0.68888 \dots

Solution steps

\frac{5}{3 t} = 3 - (\frac{6}{15 t})

Multiply by LCM

25 = 45 t - 6

Switch sides

45 t - 6 = 25

Move

6

to the right side

45 t = 31

Divide both sides by

45

t = \frac{31}{45}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{31}{45}

\frac{1}{x} + \frac{1}{3 x} = 12

x^{- 2} + 9 x^{- 1} - 10 = 0

x, y = \frac{x - 1}{x + 3}

\frac{g}{f} + Q = 2, f

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

What is the answer to 5/(3t)=3-(6/(15t)) ?
The answer to 5/(3t)=3-(6/(15t)) is t= 31/45
Solve for t: 5/(3t)=3-(6/(15t))
The solution is t= 31/45