What is the answer to 4= t/(-t+12) ?

The answer to 4= t/(-t+12) is t= 48/5

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4= t/(-t+12)

4 = \frac{t}{- t + 12}

t = \frac{48}{5}

Solution steps

4 = \frac{t}{- t + 12}

Multiply both sides by

- t + 12

4 (- t + 12) = t

Expand

4 (- t + 12) : - 4 t + 48

- 4 t + 48 = t

Move

48

to the right side

- 4 t = t - 48

Move

t

to the left side

- 5 t = - 48

Divide both sides by

- 5

t = \frac{48}{5}

Verify Solutions

Find undefined (singularity) points:

t = 12

Combine undefined points with solutions:

t = \frac{48}{5}

3 = \frac{3}{x}

- k^{2} + 3 k - \frac{2}{k} = 1

\frac{x - 3}{5 x} + 1 = \frac{x + 2}{x}

9 - \frac{4}{x ^{2}} = 0

\frac{3}{342} = \frac{4}{x}