Solve {l}{u=5}{v=-9}{t=7}{s=frac{{(u+v)}t}{2}}{w=s}{text{Solvefor}xtext{where}}{x=w}

$$\left. \begin{array} { l } { u = 5 }\\ { v = -9 }\\ { t = 7 }\\ { s = \frac{{(u + v)} t}{2} }\\ { w = s }\\ { \text{Solve for } x \text{ where} } \\ { x = w } \end{array} \right.$$

Solve for u, v, t, s, w, x

$$x=-14$$

Solution Steps

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

$$s=\frac{\left(5-9\right)\times 7}{2}$$

Subtract 9 from 5 to get -4.

$$s=\frac{-4\times 7}{2}$$

Multiply -4 and 7 to get -28.

$$s=\frac{-28}{2}$$

Divide -28 by 2 to get -14.

$$s=-14$$

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

$$w=-14$$

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

$$x=-14$$

The system is now solved.

$$u=5 v=-9 t=7 s=-14 w=-14 x=-14$$