What is the answer to (60}{t-5}-\frac{18)/t =(40)/t ?

The answer to (60}{t-5}-\frac{18)/t =(40)/t is t=-145

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(60}{t-5}-\frac{18)/t =(40)/t

\frac{60}{t - 5} - \frac{18}{t} = \frac{40}{t}

t = - 145

Solution steps

\frac{60}{t - 5} - \frac{18}{t} = \frac{40}{t}

Multiply by LCM

60 t - 18 (t - 5) = 40 (t - 5)

Expand

- 18 (t - 5) : - 18 t + 90

60 t - 18 t + 90 = 40 (t - 5)

Add similar elements:

60 t - 18 t = 42 t

42 t + 90 = 40 (t - 5)

Expand

40 (t - 5) : 40 t - 200

42 t + 90 = 40 t - 200

Move

90

to the right side

42 t = 40 t - 290

Move

40 t

to the left side

2 t = - 290

Divide both sides by

2

t = - 145

Verify Solutions

Find undefined (singularity) points:

t = 0, t = 5

Combine undefined points with solutions:

t = - 145

- \frac{3}{5} = \frac{3}{3 - j}

\frac{1}{x ^{4}} = 0

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

x, y = x^{- 2}

\frac{9}{x + 1} - \frac{1}{2} = \frac{6}{3 x + 3}

What is the answer to (60}{t-5}-\frac{18)/t =(40)/t ?
The answer to (60}{t-5}-\frac{18)/t =(40)/t is t=-145
Solve for t: (60}{t-5}-\frac{18)/t =(40)/t
The solution is t=-145