Solve y=-2x/x+1

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

Solve for x

$$x=-\frac{y}{y+2}$$

$$y\neq -2$$

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.

$$y\left(x+1\right)=-2x$$

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

$$yx+y=-2x$$

Add 2x to both sides.

$$yx+y+2x=0$$

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

$$yx+2x=-y$$

Combine all terms containing x.

$$\left(y+2\right)x=-y$$

Divide both sides by y+2.

$$\frac{\left(y+2\right)x}{y+2}=-\frac{y}{y+2}$$

Dividing by y+2 undoes the multiplication by y+2.

$$x=-\frac{y}{y+2}$$

Variable x cannot be equal to -1.

$$x=-\frac{y}{y+2}\text{, }x\neq -1$$

Solve for y

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

$$x\neq -1$$