Solve y=-1/3x+1/2

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

Solve for x

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

Steps for Solving Linear Equation

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

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

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

Subtract \frac{1}{2} from both sides.

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

Multiply both sides by -3.

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

Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.

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

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

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

Solve for y

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

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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