Solve 2x=-y+6

$$2 x = - y + 6$$

Solve for x

$$x=-\frac{y}{2}+3$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2x=6-y$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{6-y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{6-y}{2}$$

Divide -y+6 by 2.

$$x=-\frac{y}{2}+3$$

Solve for y

$$y=6-2x$$

Steps for Solving Linear Equation

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

$$-y+6=2x$$

Subtract 6 from both sides.

$$-y=2x-6$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{2x-6}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{2x-6}{-1}$$

Divide -6+2x by -1.

$$y=6-2x$$