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

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

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

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

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.

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

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

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

Consider the equation (7). Insert the known values of variables into the equation.

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

The system is now solved.

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