What is the answer to (t-9)/t =(80)/(t+9) ?

The answer to (t-9)/t =(80)/(t+9) is t=81,t=-1

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(t-9)/t =(80)/(t+9)

\frac{t - 9}{t} = \frac{80}{t + 9}

t = 81, t = - 1

Solution steps

\frac{t - 9}{t} = \frac{80}{t + 9}

Cross multiply

(t - 9) (t + 9) = t \cdot 80

Solve

(t - 9) (t + 9) = t \cdot 80 : t = 81, t = - 1

t = 81, t = - 1

Verify Solutions

Find undefined (singularity) points:

t = 0, t = - 9

Combine undefined points with solutions:

t = 81, t = - 1

1 - \frac{256}{( x + 4 ) ^{2}} = 0

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

9 + \frac{x}{x - 1} = \frac{1}{x ^{2} - x}

\frac{20}{x} = x + 1

4.5 = \frac{1}{\frac{293}{x} - 1}

What is the answer to (t-9)/t =(80)/(t+9) ?
The answer to (t-9)/t =(80)/(t+9) is t=81,t=-1
Solve for t: (t-9)/t =(80)/(t+9)
The solution is t=81,t=-1