What is the answer to solvefor X,4Y=(3X)/(X+1) ?

The answer to solvefor X,4Y=(3X)/(X+1) is X=-(4Y)/(4Y-3);\quad Y\ne 3/4

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solvefor X,4Y=(3X)/(X+1)

solve for

X, 4 Y = \frac{3 X}{X + 1}

X = - \frac{4 Y}{4 Y - 3}; Y \neq = \frac{3}{4}

Solution steps

4 Y = \frac{3 X}{X + 1}

Multiply both sides by

X + 1

4 Y (X + 1) = 3 X

Expand

4 Y (X + 1) : 4 X Y + 4 Y

4 X Y + 4 Y = 3 X

Move

4 Y

to the right side

4 X Y = 3 X - 4 Y

Move

3 X

to the left side

4 X Y - 3 X = - 4 Y

Factor

4 X Y - 3 X : X (4 Y - 3)

X (4 Y - 3) = - 4 Y

Divide both sides by

4 Y - 3; Y \neq = \frac{3}{4}

X = - \frac{4 Y}{4 Y - 3}; Y \neq = \frac{3}{4}

\frac{x}{0.1 - x} = 7.5

\frac{4}{x} = \frac{2}{5}

\frac{2}{x + 1} = \frac{x - 2}{2}

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

\frac{4}{x + 10} = \frac{4}{x - 3}

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