What is the answer to (t+9)/(t+4)=5 ?

The answer to (t+9)/(t+4)=5 is t=-11/4

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(t+9)/(t+4)=5

\frac{t + 9}{t + 4} = 5

t = - \frac{11}{4}

Decimal Notation

t = - 2.75

Solution steps

\frac{t + 9}{t + 4} = 5

Multiply both sides by

t + 4

t + 9 = 5 (t + 4)

Expand

5 (t + 4) : 5 t + 20

t + 9 = 5 t + 20

Move

9

to the right side

t = 5 t + 11

Move

5 t

to the left side

- 4 t = 11

Divide both sides by

- 4

t = - \frac{11}{4}

Verify Solutions

Find undefined (singularity) points:

t = - 4

Combine undefined points with solutions:

t = - \frac{11}{4}

x, \frac{1}{x} = 0

\frac{4}{y - 3} = \frac{6}{y + 3}

4 = \frac{- 5 x + 8}{2 x - 6}

\frac{6}{2 k - 6} = \frac{1}{3}

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}