Solve x=5xy-6

$$x = 5 x y - 6$$

Solve for x

$$x=-\frac{6}{1-5y}$$

$$y\neq \frac{1}{5}$$

Steps for Solving Linear Equation

Subtract 5xy from both sides.

$$x-5xy=-6$$

Combine all terms containing x.

$$\left(1-5y\right)x=-6$$

Divide both sides by -5y+1.

$$\frac{\left(1-5y\right)x}{1-5y}=-\frac{6}{1-5y}$$

Dividing by -5y+1 undoes the multiplication by -5y+1.

$$x=-\frac{6}{1-5y}$$

Solve for y

$$y=\frac{1}{5}+\frac{6}{5x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$5xy-6=x$$

Add 6 to both sides.

$$5xy=x+6$$

Divide both sides by 5x.

$$\frac{5xy}{5x}=\frac{x+6}{5x}$$

Dividing by 5x undoes the multiplication by 5x.

$$y=\frac{x+6}{5x}$$

Divide x+6 by 5x.

$$y=\frac{1}{5}+\frac{6}{5x}$$