Solve {l}{3x-3=7/3}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 3 x - 3 = \frac{7}{3} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{16}{9} = 1\frac{7}{9} \approx 1.777777778$$

Solution Steps

Consider the first equation. Add 3 to both sides.

$$3x=\frac{7}{3}+3$$

Add \frac{7}{3} and 3 to get \frac{16}{3}.

$$3x=\frac{16}{3}$$

Divide both sides by 3.

$$x=\frac{\frac{16}{3}}{3}$$

Express \frac{\frac{16}{3}}{3} as a single fraction.

$$x=\frac{16}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$x=\frac{16}{9}$$

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

$$y=\frac{16}{9}$$

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

$$z=\frac{16}{9}$$

The system is now solved.

$$x=\frac{16}{9} y=\frac{16}{9} z=\frac{16}{9}$$