What is the answer to solvefor x,3+5/x-y=2 ?

The answer to solvefor x,3+5/x-y=2 is x= 5/(y-1);\quad y\ne 1

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solvefor x,3+5/x-y=2

solve for

x, 3 + \frac{5}{x} - y = 2

x = \frac{5}{y - 1}; y \neq = 1

Solution steps

3 + \frac{5}{x} - y = 2

Subtract

3 - y

from both sides

3 + \frac{5}{x} - y - (3 - y) = 2 - (3 - y)

Simplify

\frac{5}{x} = y - 1

Multiply both sides by

x

5 = y x - x

Switch sides

y x - x = 5

Factor

y x - x : x (y - 1)

x (y - 1) = 5

Divide both sides by

y - 1; y \neq = 1

x = \frac{5}{y - 1}; y \neq = 1

\frac{6}{x} - 5 = x

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

\frac{4}{y} = \frac{1}{3}

1 - \frac{2}{m} = \frac{8}{m ^{2}}

2 x - 6 = \frac{7}{x}

What is the answer to solvefor x,3+5/x-y=2 ?
The answer to solvefor x,3+5/x-y=2 is x= 5/(y-1);\quad y\ne 1