Solve y+2x=2/v

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

Solve for v

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

$$y\neq -2x$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by v.

$$vy+2xv=2$$

Combine all terms containing v.

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

The equation is in standard form.

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

Divide both sides by y+2x.

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

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

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

Variable v cannot be equal to 0.

$$v=\frac{2}{2x+y}\text{, }v\neq 0$$

Solve for x

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

$$v\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by v.

$$vy+2xv=2$$

Subtract vy from both sides.

$$2xv=2-vy$$

The equation is in standard form.

$$2vx=2-vy$$

Divide both sides by 2v.

$$\frac{2vx}{2v}=\frac{2-vy}{2v}$$

Dividing by 2v undoes the multiplication by 2v.

$$x=\frac{2-vy}{2v}$$

Divide 2-vy by 2v.

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