What is the answer to solvefor y,x=(y+1)/(y-3) ?

The answer to solvefor y,x=(y+1)/(y-3) is y=(1+3x)/(x-1);\quad x\ne 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=(y+1)/(y-3)

solve for

y, x = \frac{y + 1}{y - 3}

y = \frac{1 + 3 x}{x - 1}; x \neq = 1

Solution steps

x = \frac{y + 1}{y - 3}

Multiply both sides by

y - 3

x (y - 3) = y + 1

Expand

x (y - 3) : y x - 3 x

y x - 3 x = y + 1

Move

3 x

to the right side

y x = y + 1 + 3 x

Move

y

to the left side

y x - y = 1 + 3 x

Factor

y x - y : y (x - 1)

y (x - 1) = 1 + 3 x

Divide both sides by

x - 1; x \neq = 1

y = \frac{1 + 3 x}{x - 1}; x \neq = 1

y, x = \frac{y + 1}{y - 1}

y, x = \frac{2 + y}{3 y - 2}

\frac{4}{x} + \frac{4}{x + 6} = 1

8 x^{- 4} - 6 x^{- 2} + 1 = 0

\frac{3}{4 n - 1} = \frac{2}{2 n - 5}

What is the answer to solvefor y,x=(y+1)/(y-3) ?
The answer to solvefor y,x=(y+1)/(y-3) is y=(1+3x)/(x-1);\quad x\ne 1