Solve y=3x/x+4

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

Solve for x

$$x=\frac{4y}{3-y}$$

$$y\neq 3$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

$$y\left(x+4\right)=3x$$

Use the distributive property to multiply y by x+4.

$$yx+4y=3x$$

Subtract 3x from both sides.

$$yx+4y-3x=0$$

Subtract 4y from both sides. Anything subtracted from zero gives its negation.

$$yx-3x=-4y$$

Combine all terms containing x.

$$\left(y-3\right)x=-4y$$

Divide both sides by y-3.

$$\frac{\left(y-3\right)x}{y-3}=-\frac{4y}{y-3}$$

Dividing by y-3 undoes the multiplication by y-3.

$$x=-\frac{4y}{y-3}$$

Variable x cannot be equal to -4.

$$x=-\frac{4y}{y-3}\text{, }x\neq -4$$

Solve for y

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

$$x\neq -4$$