What is the answer to (2t+1)/(7t)= 4/3 ?

The answer to (2t+1)/(7t)= 4/3 is t= 3/22

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(2t+1)/(7t)= 4/3

\frac{2 t + 1}{7 t} = \frac{4}{3}

t = \frac{3}{22}

Decimal Notation

t = 0.13636 \dots

Solution steps

\frac{2 t + 1}{7 t} = \frac{4}{3}

Cross multiply

6 t + 3 = 28 t

Move

3

to the right side

6 t = 28 t - 3

Move

28 t

to the left side

- 22 t = - 3

Divide both sides by

- 22

t = \frac{3}{22}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{3}{22}

u + \frac{1}{u} = 2

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

0.1 = 100 \cdot \frac{x}{( x + 2 )}

\frac{2}{5} = \frac{4}{x}

\frac{( 5 + 7 )}{x} = 24

What is the answer to (2t+1)/(7t)= 4/3 ?
The answer to (2t+1)/(7t)= 4/3 is t= 3/22
Solve for t: (2t+1)/(7t)= 4/3
The solution is t= 3/22