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

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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

5 + \frac{x + 5}{x - 7} = x

\frac{2 π}{x} = \frac{2 π}{3.14}

1 - \frac{2}{x - 1} = \frac{x + 7}{x ^{2} - 1}

\frac{4}{a - 7} = \frac{- 2 a}{a + 3}

\frac{1}{x + 9} + \frac{18}{x ^{2} - 81} = 1

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