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

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

Solve for x

$$x=\frac{8y}{3}$$

Steps for Solving Linear Equation

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

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

Add \frac{1}{3}y to both sides.

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

Combine y and \frac{1}{3}y to get \frac{4}{3}y.

$$\frac{1}{2}x=\frac{4}{3}y$$

The equation is in standard form.

$$\frac{1}{2}x=\frac{4y}{3}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{4y}{\frac{1}{2}\times 3}$$

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

$$x=\frac{4y}{\frac{1}{2}\times 3}$$

Divide \frac{4y}{3} by \frac{1}{2} by multiplying \frac{4y}{3} by the reciprocal of \frac{1}{2}.

$$x=\frac{8y}{3}$$

Solve for y

$$y=\frac{3x}{8}$$

Steps for Solving Linear Equation

Add \frac{1}{3}y to both sides.

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

Combine y and \frac{1}{3}y to get \frac{4}{3}y.

$$\frac{4}{3}y=\frac{1}{2}x$$

The equation is in standard form.

$$\frac{4}{3}y=\frac{x}{2}$$

Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{3}y}{\frac{4}{3}}=\frac{x}{\frac{4}{3}\times 2}$$

Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.

$$y=\frac{x}{\frac{4}{3}\times 2}$$

Divide \frac{x}{2} by \frac{4}{3} by multiplying \frac{x}{2} by the reciprocal of \frac{4}{3}.

$$y=\frac{3x}{8}$$