Solve {r}{3y=2}{3x-y=2}

$$\left. \begin{array} { r } { 3 y = 2 } \\ { 3 x - y = 2 } \end{array} \right.$$

Solve for y, x

$$x=\frac{8}{9}\approx 0.888888889$$

$$y=\frac{2}{3}\approx 0.666666667$$

Solution Steps

Consider the first equation. Divide both sides by 3.

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

Consider the second equation. Insert the known values of variables into the equation.

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

Add \frac{2}{3} to both sides.

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

Add 2 and \frac{2}{3} to get \frac{8}{3}.

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

Divide both sides by 3.

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

Express \frac{\frac{8}{3}}{3} as a single fraction.

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

Multiply 3 and 3 to get 9.

$$x=\frac{8}{9}$$

The system is now solved.

$$y=\frac{2}{3} x=\frac{8}{9}$$