What is the answer to (ax)/b+(cx)/d =e ?

The answer to (ax)/b+(cx)/d =e is x=(ebd}{ad+bc};\quad bd\ne 0,a\ne-\frac{bc)/d

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(ax)/b+(cx)/d =e

\frac{a x}{b} + \frac{c x}{d} = e

x = \frac{e b d}{a d + b c}; b d \neq = 0, a \neq = - \frac{b c}{d}

Solution steps

\frac{a x}{b} + \frac{c x}{d} = e

Multiply by LCM

a d x + b c x = e b d; b d \neq = 0

Factor

a d x + b c x : x (a d + b c)

x (a d + b c) = e b d; b d \neq = 0

Divide both sides by

a d + b c; b d \neq = 0, a \neq = - \frac{b c}{d}

x = \frac{e b d}{a d + b c}; b d \neq = 0, a \neq = - \frac{b c}{d}

6 (x - 7) = 24

a, c = y - a

x, 3 x - 12 y = 6

x, 4 z = x + y

37 x + 12 - (x + 14) = 9 (4 x - 7) + 5

What is the answer to (ax)/b+(cx)/d =e ?
The answer to (ax)/b+(cx)/d =e is x=(ebd}{ad+bc};\quad bd\ne 0,a\ne-\frac{bc)/d