What is the answer to 200=(40+20x)/(1+0.05x) ?

The answer to 200=(40+20x)/(1+0.05x) is x=16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

200=(40+20x)/(1+0.05x)

200 = \frac{40 + 20 x}{1 + 0.05 x}

x = 16

Solution steps

200 = \frac{40 + 20 x}{1 + 0.05 x}

Multiply both sides by

1 + 0.05 x

200 (1 + 0.05 x) = 40 + 20 x

Expand

200 (1 + 0.05 x) : 200 + 10 x

200 + 10 x = 40 + 20 x

Move

200

to the right side

10 x = 20 x - 160

Move

20 x

to the left side

- 10 x = - 160

Divide both sides by

- 10

x = 16

Verify Solutions

Find undefined (singularity) points:

x = - 20

Combine undefined points with solutions:

x = 16

\frac{44}{x} = 4

2 x - \frac{1}{x} = x

6 = \frac{( - 2 x + 2 )}{x + 3}

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

\frac{5}{x ^{2} + 16 x + 89} = 0

What is the answer to 200=(40+20x)/(1+0.05x) ?
The answer to 200=(40+20x)/(1+0.05x) is x=16
Solve for x: 200=(40+20x)/(1+0.05x)
The solution is x=16