Solve {l}{3x=7*2}{y=x}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 3 x = 7 \cdot 2 }\\ { y = x }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Solution Steps

Consider the first equation. Multiply 7 and 2 to get 14.

$$3x=14$$

Divide both sides by 3.

$$x=\frac{14}{3}$$

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

$$y=\frac{14}{3}$$

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

$$z=\frac{14}{3}$$

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

$$a=\frac{14}{3}$$

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

$$b=\frac{14}{3}$$

The system is now solved.

$$x=\frac{14}{3} y=\frac{14}{3} z=\frac{14}{3} a=\frac{14}{3} b=\frac{14}{3}$$