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

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

Solve for x

$$x=\frac{2\left(y+2\right)}{3}$$

Steps for Solving Linear Equation

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

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

The equation is in standard form.

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

Multiply both sides by 2.

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

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

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

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

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