Solve {l}{u=5}{v=-7}{t=6}{s=frac{{(u+v)}t}{2}}{w=s}{text{Solvefor}xtext{where}}{x=w}

$$\left. \begin{array} { l } { u = 5 }\\ { v = -7 }\\ { t = 6 }\\ { s = \frac{{(u + v)} t}{2} }\\ { w = s }\\ { \text{Solve for } x \text{ where} } \\ { x = w } \end{array} \right.$$

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

$$x=-6$$

Solution Steps

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

$$s=\frac{\left(5-7\right)\times 6}{2}$$

Subtract 7 from 5 to get -2.

$$s=\frac{-2\times 6}{2}$$

Multiply -2 and 6 to get -12.

$$s=\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$s=-6$$

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

$$w=-6$$

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

$$x=-6$$

The system is now solved.

$$u=5 v=-7 t=6 s=-6 w=-6 x=-6$$