Solve 2+2x=145xy+12y

$$2 + 2 x = 145 x y + 12 y$$

Solve for x

$$x=-\frac{2\left(1-6y\right)}{2-145y}$$

$$y\neq \frac{2}{145}$$

Steps for Solving Linear Equation

Subtract 145xy from both sides.

$$2+2x-145xy=12y$$

Subtract 2 from both sides.

$$2x-145xy=12y-2$$

Combine all terms containing x.

$$\left(2-145y\right)x=12y-2$$

Divide both sides by -145y+2.

$$\frac{\left(2-145y\right)x}{2-145y}=\frac{12y-2}{2-145y}$$

Dividing by -145y+2 undoes the multiplication by -145y+2.

$$x=\frac{12y-2}{2-145y}$$

Divide 12y-2 by -145y+2.

$$x=\frac{2\left(6y-1\right)}{2-145y}$$

Solve for y

$$y=\frac{2\left(x+1\right)}{145x+12}$$

$$x\neq -\frac{12}{145}$$

Steps for Solving Linear Equation

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

$$145xy+12y=2+2x$$

Combine all terms containing y.

$$\left(145x+12\right)y=2+2x$$

The equation is in standard form.

$$\left(145x+12\right)y=2x+2$$

Divide both sides by 12+145x.

$$\frac{\left(145x+12\right)y}{145x+12}=\frac{2x+2}{145x+12}$$

Dividing by 12+145x undoes the multiplication by 12+145x.

$$y=\frac{2x+2}{145x+12}$$

Divide 2+2x by 12+145x.

$$y=\frac{2\left(x+1\right)}{145x+12}$$