What is the answer to (t+5)/(t-5)=10 ?

The answer to (t+5)/(t-5)=10 is t= 55/9

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(t+5)/(t-5)=10

\frac{t + 5}{t - 5} = 10

t = \frac{55}{9}

Decimal Notation

t = 6.11111 \dots

Solution steps

\frac{t + 5}{t - 5} = 10

Multiply both sides by

t - 5

t + 5 = 10 (t - 5)

Expand

10 (t - 5) : 10 t - 50

t + 5 = 10 t - 50

Move

5

to the right side

t = 10 t - 55

Move

10 t

to the left side

- 9 t = - 55

Divide both sides by

- 9

t = \frac{55}{9}

Verify Solutions

Find undefined (singularity) points:

t = 5

Combine undefined points with solutions:

t = \frac{55}{9}

\frac{28}{x} = \frac{50}{26}

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

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

\frac{x}{x + 5} = 10

\frac{40}{x} = \frac{5}{7}