Solve x=4xy+3

$$x = 4 x y + 3$$

Solve for x

$$x=\frac{3}{1-4y}$$

$$y\neq \frac{1}{4}$$

Steps for Solving Linear Equation

Subtract 4xy from both sides.

$$x-4xy=3$$

Combine all terms containing x.

$$\left(1-4y\right)x=3$$

Divide both sides by -4y+1.

$$\frac{\left(1-4y\right)x}{1-4y}=\frac{3}{1-4y}$$

Dividing by -4y+1 undoes the multiplication by -4y+1.

$$x=\frac{3}{1-4y}$$

Solve for y

$$y=\frac{1}{4}-\frac{3}{4x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$4xy+3=x$$

Subtract 3 from both sides.

$$4xy=x-3$$

Divide both sides by 4x.

$$\frac{4xy}{4x}=\frac{x-3}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$y=\frac{x-3}{4x}$$

Divide x-3 by 4x.

$$y=\frac{1}{4}-\frac{3}{4x}$$