What is the answer to 2/(t+6)= 3/(t-1) ?

The answer to 2/(t+6)= 3/(t-1) is t=-20

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2/(t+6)= 3/(t-1)

\frac{2}{t + 6} = \frac{3}{t - 1}

t = - 20

Solution steps

\frac{2}{t + 6} = \frac{3}{t - 1}

Cross multiply

2 t - 2 = 3 t + 18

Move

2

to the right side

2 t = 3 t + 20

Move

3 t

to the left side

- t = 20

Divide both sides by

- 1

t = - 20

Verify Solutions

Find undefined (singularity) points:

t = - 6, t = 1

Combine undefined points with solutions:

t = - 20

x = \frac{a x + b}{c x + d}

6 - \frac{5}{x} = 4 + \frac{3}{x}

\frac{2}{x + 2} + 2 = \frac{8}{x + 2}

\frac{6 x ^{2} + 2 x - 4}{3 x + 1} = 2 x

\frac{x - 1}{x + 2} = \frac{11}{19}

What is the answer to 2/(t+6)= 3/(t-1) ?
The answer to 2/(t+6)= 3/(t-1) is t=-20
Solve for t: 2/(t+6)= 3/(t-1)
The solution is t=-20