Solve {l}{3x=2}{y=x}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 3 x = 2 }\\ { y = x }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Solve for x, y, z, a, b, c

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

Solution Steps

Consider the first equation. Divide both sides by 3.

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

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

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

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

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

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

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

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

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

Consider the equation (6). Insert the known values of variables into the equation.

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

The system is now solved.

$$x=\frac{2}{3} y=\frac{2}{3} z=\frac{2}{3} a=\frac{2}{3} b=\frac{2}{3} c=\frac{2}{3}$$