What is expand (1/x+1/y = 1/14)xy ?

The solution to expand (1/x+1/y = 1/14)xy is y+x=0.07142…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1/x+1/y = 1/14)xy

expand

(\frac{1}{x} + \frac{1}{y} = \frac{1}{14}) x y

y + x = 0.07142 \dots

Solution steps

(\frac{1}{x} + \frac{1}{y} = \frac{1}{14}) x y

= x (\frac{1}{x} + \frac{1}{14} = \frac{1}{y}) y

Apply the distributive law:

a (b + c) = ab + a c

a = x y, b = \frac{1}{x}, c = \frac{1}{y} = \frac{1}{14}

x y \frac{1}{x} + x y \frac{1}{y} = \frac{1}{14}

\frac{1}{x} x y + \frac{1}{y} x y = \frac{1}{14}

Simplify

\frac{1}{x} x y + \frac{1}{y} x y = \frac{1}{14} : y + x = 0.07142 \dots

y + x = 0.07142 \dots

(1 + sin (θ) + cos (θ))^{2}

(2 + 1 + x)^{2}

(x^{2} + 3 x + 2) (5 x + 9 x^{2} - 2 x)

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

(4 - 4 cos (θ))^{2}

What is expand (1/x+1/y = 1/14)xy ?
The solution to expand (1/x+1/y = 1/14)xy is y+x=0.07142…