Solve {l}{13=p}{q=0.5*12}{r=q}{s=r}{t=s}{u=t}{v=u}{w=v}{x=w}{y=x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 13 = p }\\ { q = 0.5 \cdot 12 }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

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

$$a=6$$

Solution Steps

Consider the first equation. Swap sides so that all variable terms are on the left hand side.

$$p=13$$

Consider the second equation. Multiply 0.5 and 12 to get 6.

$$q=6$$

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

$$r=6$$

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

$$s=6$$

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

$$t=6$$

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

$$u=6$$

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

$$v=6$$

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

$$w=6$$

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

$$x=6$$

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

$$y=6$$

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

$$z=6$$

Consider the equation (12). Insert the known values of variables into the equation.

$$a=6$$

The system is now solved.

$$p=13 q=6 r=6 s=6 t=6 u=6 v=6 w=6 x=6 y=6 z=6 a=6$$