What is the answer to solvefor x, 1/x+y/3 = 5/6 ?

The answer to solvefor x, 1/x+y/3 = 5/6 is x=-6/(2y-5);\quad y\ne 5/2

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solvefor x, 1/x+y/3 = 5/6

solve for

x, \frac{1}{x} + \frac{y}{3} = \frac{5}{6}

x = - \frac{6}{2 y - 5}; y \neq = \frac{5}{2}

Solution steps

\frac{1}{x} + \frac{y}{3} = \frac{5}{6}

Multiply by LCM

6 + 2 x y = 5 x

Move

6

to the right side

2 x y = 5 x - 6

Move

5 x

to the left side

2 x y - 5 x = - 6

Factor

2 x y - 5 x : x (2 y - 5)

x (2 y - 5) = - 6

Divide both sides by

2 y - 5; y \neq = \frac{5}{2}

x = - \frac{6}{2 y - 5}; y \neq = \frac{5}{2}

\frac{1}{y} + \frac{2}{y} = \frac{3}{y}

x, y = \frac{( 2 y + x )}{x}

8 = \frac{( 250 k )}{( t _{1} - 250 k )}

0.0507 = \frac{( \frac{2.64}{m} )}{( \frac{2.64}{m} + \frac{32}{74} )}

\frac{x + 1}{x - 3} = \frac{0 x ^{3} + 1}{x ^{3}}

What is the answer to solvefor x, 1/x+y/3 = 5/6 ?
The answer to solvefor x, 1/x+y/3 = 5/6 is x=-6/(2y-5);\quad y\ne 5/2