What is the answer to solvefor y, 2/x+3/y =4 ?

The answer to solvefor y, 2/x+3/y =4 is y=-(3x)/(2(1-2x));\quad x\ne 1/2

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solvefor y, 2/x+3/y =4

solve for

y, \frac{2}{x} + \frac{3}{y} = 4

y = - \frac{3 x}{2 ( 1 - 2 x )}; x \neq = \frac{1}{2}

Solution steps

\frac{2}{x} + \frac{3}{y} = 4

Multiply by LCM

2 y + 3 x = 4 y x

Move

3 x

to the right side

2 y = 4 y x - 3 x

Move

4 y x

to the left side

2 y - 4 y x = - 3 x

Factor

2 y - 4 y x : 2 y (1 - 2 x)

2 y (1 - 2 x) = - 3 x

Divide both sides by

2 (1 - 2 x); x \neq = \frac{1}{2}

y = - \frac{3 x}{2 ( 1 - 2 x )}; x \neq = \frac{1}{2}

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

15 = \frac{2}{x} \cdot 100

\frac{x - 4}{3 x + 2} = \frac{1}{5}

\frac{5 x - 7}{x - 3} = \frac{4 x - 3}{x}

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

What is the answer to solvefor y, 2/x+3/y =4 ?
The answer to solvefor y, 2/x+3/y =4 is y=-(3x)/(2(1-2x));\quad x\ne 1/2