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

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

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solvefor x= y/(y+4),y

solve for

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

y = - \frac{4 x}{x - 1}; x \neq = 1

Solution steps

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

Multiply both sides by

y + 4

x (y + 4) = y

Expand

x (y + 4) : x y + 4 x

x y + 4 x = y

Move

4 x

to the right side

x y = y - 4 x

Move

y

to the left side

x y - y = - 4 x

Factor

x y - y : y (x - 1)

y (x - 1) = - 4 x

Divide both sides by

x - 1; x \neq = 1

y = - \frac{4 x}{x - 1}; x \neq = 1

\frac{x}{x - 4} + 1 = \frac{4}{x - 4}

u, S = \frac{u}{a u + v}

\frac{5}{y + 4} = 4 + \frac{3}{y - 2}

\frac{x}{x + 2} = \frac{x - 2}{x - 4}

n, K = \frac{a}{b ( c + n )}

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