Solve {l}{t=3}{u=8t+3}{v=u}{w=v}{x=w}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { t = 3 }\\ { u = 8 t + 3 }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for t, u, v, w, x, y, z

$$z=27$$

Solution Steps

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

$$u=8\times 3+3$$

Multiply 8 and 3 to get 24.

$$u=24+3$$

Add 24 and 3 to get 27.

$$u=27$$

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

$$v=27$$

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

$$w=27$$

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

$$x=27$$

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

$$y=27$$

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

$$z=27$$

The system is now solved.

$$t=3 u=27 v=27 w=27 x=27 y=27 z=27$$