What is the answer to 9/(-t-6)=(27)/(2t+22) ?

The answer to 9/(-t-6)=(27)/(2t+22) is t=-8

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9/(-t-6)=(27)/(2t+22)

\frac{9}{- t - 6} = \frac{27}{2 t + 22}

t = - 8

Solution steps

\frac{9}{- t - 6} = \frac{27}{2 t + 22}

Cross multiply

18 t + 198 = - 27 t - 162

Move

198

to the right side

18 t = - 27 t - 360

Move

27 t

to the left side

45 t = - 360

Divide both sides by

45

t = - 8

Verify Solutions

Find undefined (singularity) points:

t = - 6, t = - 11

Combine undefined points with solutions:

t = - 8

\frac{1}{2 x + 3} = - x + 7

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

1 + \frac{x}{x - 8} = \frac{4}{x - 8}

\frac{3}{x} - \frac{2}{2 x} = \frac{1}{3}

\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}

What is the answer to 9/(-t-6)=(27)/(2t+22) ?
The answer to 9/(-t-6)=(27)/(2t+22) is t=-8
Solve for t: 9/(-t-6)=(27)/(2t+22)
The solution is t=-8