Solve xy+4=2xy+6x

$$xy+4=2xy+6x$$

Solve for x

$$x=\frac{4}{y+6}$$

$$y\neq -6$$

Steps for Solving Linear Equation

Subtract 2xy from both sides.

$$xy+4-2xy=6x$$

Combine xy and -2xy to get -xy.

$$-xy+4=6x$$

Subtract 6x from both sides.

$$-xy+4-6x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-xy-6x=-4$$

Combine all terms containing x.

$$\left(-y-6\right)x=-4$$

Divide both sides by -y-6.

$$\frac{\left(-y-6\right)x}{-y-6}=-\frac{4}{-y-6}$$

Dividing by -y-6 undoes the multiplication by -y-6.

$$x=-\frac{4}{-y-6}$$

Divide -4 by -y-6.

$$x=\frac{4}{y+6}$$

Solve for y

$$y=-6+\frac{4}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 2xy from both sides.

$$xy+4-2xy=6x$$

Combine xy and -2xy to get -xy.

$$-xy+4=6x$$

Subtract 4 from both sides.

$$-xy=6x-4$$

The equation is in standard form.

$$\left(-x\right)y=6x-4$$

Divide both sides by -x.

$$\frac{\left(-x\right)y}{-x}=\frac{6x-4}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$y=\frac{6x-4}{-x}$$

Divide -4+6x by -x.

$$y=-6+\frac{4}{x}$$