Solve y=5x/x+1

$$y = \frac { 5 x } { x + 1 }$$

Solve for x

$$x=\frac{y}{5-y}$$

$$y\neq 5$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$y\left(x+1\right)=5x$$

Use the distributive property to multiply y by x+1.

$$yx+y=5x$$

Subtract 5x from both sides.

$$yx+y-5x=0$$

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

$$yx-5x=-y$$

Combine all terms containing x.

$$\left(y-5\right)x=-y$$

Divide both sides by y-5.

$$\frac{\left(y-5\right)x}{y-5}=-\frac{y}{y-5}$$

Dividing by y-5 undoes the multiplication by y-5.

$$x=-\frac{y}{y-5}$$

Variable x cannot be equal to -1.

$$x=-\frac{y}{y-5}\text{, }x\neq -1$$

Solve for y

$$y=\frac{5x}{x+1}$$

$$x\neq -1$$