Solve {l}{u=-4}{v=-5}{t=4}{s=frac{{(u+v)}t}{2}}{w=s}{text{Solvefor}xtext{where}}{x=w}

$$\left. \begin{array} { l } { u = -4 }\\ { v = -5 }\\ { t = 4 }\\ { s = \frac{{(u + v)} t}{2} }\\ { w = s }\\ { \text{Solve for } x \text{ where} } \\ { x = w } \end{array} \right.$$

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

$$x=-18$$

Solution Steps

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

$$s=\frac{\left(-4-5\right)\times 4}{2}$$

Subtract 5 from -4 to get -9.

$$s=\frac{-9\times 4}{2}$$

Multiply -9 and 4 to get -36.

$$s=\frac{-36}{2}$$

Divide -36 by 2 to get -18.

$$s=-18$$

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

$$w=-18$$

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

$$x=-18$$

The system is now solved.

$$u=-4 v=-5 t=4 s=-18 w=-18 x=-18$$