What is the answer to solvefor x,z=(x+y)/(xy) ?

The answer to solvefor x,z=(x+y)/(xy) is x= y/(zy-1);\quad y\ne 0,z\ne 1/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,z=(x+y)/(xy)

solve for

x, z = \frac{x + y}{x y}

x = \frac{y}{zy - 1}; y \neq = 0, z \neq = \frac{1}{y}

Solution steps

z = \frac{x + y}{x y}

Multiply both sides by

x

z x = \frac{x + y}{y}

Multiply both sides by

y

z x y = x + y; y \neq = 0

Move

x

to the left side

z x y - x = y; y \neq = 0

Factor

z x y - x : x (zy - 1)

x (zy - 1) = y; y \neq = 0

Divide both sides by

zy - 1; y \neq = 0, z \neq = \frac{1}{y}

x = \frac{y}{zy - 1}; y \neq = 0, z \neq = \frac{1}{y}

\frac{250}{x} = 0.35

\frac{2}{a} - 2 = \frac{12}{7 a}

y, x = \frac{9}{y}

b (x) = \frac{5 x}{x ^{2} - 25}

\frac{a}{b} = c, b

What is the answer to solvefor x,z=(x+y)/(xy) ?
The answer to solvefor x,z=(x+y)/(xy) is x= y/(zy-1);\quad y\ne 0,z\ne 1/y