Solve x=6-3y/2

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

Solve for y

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

Steps for Solving Linear Equation

Divide each term of 6-3y by 2 to get 3-\frac{3}{2}y.

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

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

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

Subtract 3 from both sides.

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

Divide both sides of the equation by -\frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by -\frac{3}{2} undoes the multiplication by -\frac{3}{2}.

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

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

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

Solve for x

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

Solution Steps

Divide each term of 6-3y by 2 to get 3-\frac{3}{2}y.

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