Solve {l}{-4{(q-14)}=-16}{r=q}{s=r}{t=s}{u=t}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { -4 {(q - 14)} = -16 }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

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

$$v=18$$

Solution Steps

Consider the first equation. Divide both sides by -4.

$$q-14=\frac{-16}{-4}$$

Divide -16 by -4 to get 4.

$$q-14=4$$

Add 14 to both sides.

$$q=4+14$$

Add 4 and 14 to get 18.

$$q=18$$

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

$$r=18$$

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

$$s=18$$

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

$$t=18$$

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

$$u=18$$

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

$$v=18$$

The system is now solved.

$$q=18 r=18 s=18 t=18 u=18 v=18$$