Solve 3y=-1/2x+2

$$3 y = - \frac { 1 } { 2 } x + 2$$

Solve for x

$$x=4-6y$$

Steps for Solving Linear Equation

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

$$-\frac{1}{2}x+2=3y$$

Subtract 2 from both sides.

$$-\frac{1}{2}x=3y-2$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{3y-2}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$x=\frac{3y-2}{-\frac{1}{2}}$$

Divide 3y-2 by -\frac{1}{2} by multiplying 3y-2 by the reciprocal of -\frac{1}{2}.

$$x=4-6y$$

Solve for y

$$y=-\frac{x}{6}+\frac{2}{3}$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Divide -\frac{x}{2}+2 by 3.

$$y=-\frac{x}{6}+\frac{2}{3}$$