What is the answer to 2000=(1000(1+3t))/(5+t) ?

The answer to 2000=(1000(1+3t))/(5+t) is t=9

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2000=(1000(1+3t))/(5+t)

2000 = \frac{1000 ( 1 + 3 t )}{5 + t}

t = 9

Solution steps

2000 = \frac{1000 ( 1 + 3 t )}{5 + t}

Multiply both sides by

5 + t

2000 (5 + t) = 1000 (1 + 3 t)

Expand

2000 (5 + t) : 10000 + 2000 t

Expand

1000 (1 + 3 t) : 1000 + 3000 t

10000 + 2000 t = 1000 + 3000 t

Move

10000

to the right side

2000 t = 3000 t - 9000

Move

3000 t

to the left side

- 1000 t = - 9000

Divide both sides by

- 1000

t = 9

Verify Solutions

Find undefined (singularity) points:

t = - 5

Combine undefined points with solutions:

t = 9

\frac{7}{3} = \frac{4}{y}

\frac{x ^{2} + 2 x - 3}{( x + 1 ) ^{2}} = 0

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

2 x - \frac{432}{x ^{2}} = 0

x, 0 = \frac{2}{x}

What is the answer to 2000=(1000(1+3t))/(5+t) ?
The answer to 2000=(1000(1+3t))/(5+t) is t=9
Solve for t: 2000=(1000(1+3t))/(5+t)
The solution is t=9