Solve 1/3y=2x-1

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 1 to both sides.

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

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide \frac{y}{3}+1 by 2.

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

Solve for y

$$y=6x-3$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Multiply both sides by 3.

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

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

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

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

$$y=6x-3$$