Solve {l}{u=23}{v={(u+57)}/4}{w=v}{x=w}{y=x}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { u = 23 }\\ { v = {(u + 57)} / 4 }\\ { w = v }\\ { x = w }\\ { y = x }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for u, v, w, x, y, z, a, b

$$b=20$$

Solution Steps

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

$$v=\frac{23+57}{4}$$

Add 23 and 57 to get 80.

$$v=\frac{80}{4}$$

Divide 80 by 4 to get 20.

$$v=20$$

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

$$w=20$$

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

$$x=20$$

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

$$y=20$$

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

$$z=20$$

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

$$a=20$$

Consider the equation (8). Insert the known values of variables into the equation.

$$b=20$$

The system is now solved.

$$u=23 v=20 w=20 x=20 y=20 z=20 a=20 b=20$$