What is the answer to solvefor x, 4/x+5/y =4 ?

The answer to solvefor x, 4/x+5/y =4 is x=-(4y)/(5-4y);\quad y\ne 5/4

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solvefor x, 4/x+5/y =4

solve for

x, \frac{4}{x} + \frac{5}{y} = 4

x = - \frac{4 y}{5 - 4 y}; y \neq = \frac{5}{4}

Solution steps

\frac{4}{x} + \frac{5}{y} = 4

Multiply by LCM

4 y + 5 x = 4 x y

Move

4 y

to the right side

5 x = 4 x y - 4 y

Move

4 x y

to the left side

5 x - 4 x y = - 4 y

Factor

5 x - 4 x y : x (5 - 4 y)

x (5 - 4 y) = - 4 y

Divide both sides by

5 - 4 y; y \neq = \frac{5}{4}

x = - \frac{4 y}{5 - 4 y}; y \neq = \frac{5}{4}

\frac{- 3}{4 x + 6} = \frac{55}{16}

\frac{( 1 + x )}{( 1 - x )} = 3

\frac{( 2 x ^{2} + x - 5 )}{( x - 5 )} = \frac{( x ^{2} + x - 6 )}{( x - 6 )}

\frac{15}{4 - 7 x} = 9

- x^{- 1} = 4

What is the answer to solvefor x, 4/x+5/y =4 ?
The answer to solvefor x, 4/x+5/y =4 is x=-(4y)/(5-4y);\quad y\ne 5/4