Solve {l}{5p=0}{q=5-3}{r=q}{s=r}{t=s}{u=t}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { 5 p = 0 }\\ { q = 5 - 3 }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

Solve for p, q, r, s, t, u, v

$$v=2$$

Solution Steps

Consider the first equation. Divide both sides by 5. Zero divided by any non-zero number gives zero.

$$p=0$$

Consider the second equation. Subtract 3 from 5 to get 2.

$$q=2$$

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

$$r=2$$

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

$$s=2$$

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

$$t=2$$

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

$$u=2$$

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

$$v=2$$

The system is now solved.

$$p=0 q=2 r=2 s=2 t=2 u=2 v=2$$