Solve {l}{p=12}{q=24}{r=p+q}{s=r}{t=s}{u=t}{v=u}{w=v}{x=w}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { p = 12 }\\ { q = 24 }\\ { r = p + q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for p, q, r, s, t, u, v, w, x, y, z

$$z=36$$

Solution Steps

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

$$r=12+24$$

Add 12 and 24 to get 36.

$$r=36$$

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

$$s=36$$

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

$$t=36$$

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

$$u=36$$

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

$$v=36$$

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

$$w=36$$

Consider the equation (9). Insert the known values of variables into the equation.

$$x=36$$

Consider the equation (10). Insert the known values of variables into the equation.

$$y=36$$

Consider the equation (11). Insert the known values of variables into the equation.

$$z=36$$

The system is now solved.

$$p=12 q=24 r=36 s=36 t=36 u=36 v=36 w=36 x=36 y=36 z=36$$