Solve y=1/3(1-2x)

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 1-2x.

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

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

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

Subtract \frac{1}{3} from both sides.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{1}{3} by 1-2x.

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