Solve x=yx+3

$$x = y x + 3$$

Solve for x

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

$$y\neq 1$$

Steps for Solving Linear Equation

Subtract yx from both sides.

$$x-yx=3$$

Combine all terms containing x.

$$\left(1-y\right)x=3$$

Divide both sides by -y+1.

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

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

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$yx+3=x$$

Subtract 3 from both sides.

$$yx=x-3$$

The equation is in standard form.

$$xy=x-3$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{x-3}{x}$$

Dividing by x undoes the multiplication by x.

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