What is the answer to (13+2t)/(4t+1)= 3/4 ?

The answer to (13+2t)/(4t+1)= 3/4 is t= 49/4

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(13+2t)/(4t+1)= 3/4

\frac{13 + 2 t}{4 t + 1} = \frac{3}{4}

t = \frac{49}{4}

Decimal Notation

t = 12.25

Solution steps

\frac{13 + 2 t}{4 t + 1} = \frac{3}{4}

Cross multiply

52 + 8 t = 12 t + 3

Move

52

to the right side

8 t = 12 t - 49

Move

12 t

to the left side

- 4 t = - 49

Divide both sides by

- 4

t = \frac{49}{4}

Verify Solutions

Find undefined (singularity) points:

t = - \frac{1}{4}

Combine undefined points with solutions:

t = \frac{49}{4}

\frac{x - 7}{4 x} + 1 = \frac{x + 3}{x}

x = (\frac{x}{2 + x}) - 5

1.5 a^{2} = \frac{6}{a ^{2}}

x^{- 2} = 7

x^{- 2} = 8

What is the answer to (13+2t)/(4t+1)= 3/4 ?
The answer to (13+2t)/(4t+1)= 3/4 is t= 49/4
Solve for t: (13+2t)/(4t+1)= 3/4
The solution is t= 49/4