Solve y=3-x/2x

$$y = \frac { 3 - x } { 2 x }$$

Solve for x

$$x=\frac{3}{2y+1}$$

$$y\neq -\frac{1}{2}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.

$$y\times 2x=3-x$$

Add x to both sides.

$$y\times 2x+x=3$$

Combine all terms containing x.

$$\left(y\times 2+1\right)x=3$$

The equation is in standard form.

$$\left(2y+1\right)x=3$$

Divide both sides by 2y+1.

$$\frac{\left(2y+1\right)x}{2y+1}=\frac{3}{2y+1}$$

Dividing by 2y+1 undoes the multiplication by 2y+1.

$$x=\frac{3}{2y+1}$$

Variable x cannot be equal to 0.

$$x=\frac{3}{2y+1}\text{, }x\neq 0$$

Solve for y

$$y=-\frac{1}{2}+\frac{3}{2x}$$

$$x\neq 0$$