Solve {l}{p=6.3}{q=-8.7}{r=-9.9}{s=r+p+|p|+q}{text{Solvefor}ttext{where}}{t=s}

$$\left. \begin{array} { l } { p = 6.3 }\\ { q = -8.7 }\\ { r = -9.9 }\\ { s = r + p + | p | + q }\\ { \text{Solve for } t \text{ where} } \\ { t = s } \end{array} \right.$$

Solve for p, q, r, s, t

$$t=-6$$

Solution Steps

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

$$s=-9.9+6.3+|6.3|-8.7$$

Add -9.9 and 6.3 to get -3.6.

$$s=-3.6+|6.3|-8.7$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 6.3 is 6.3.

$$s=-3.6+6.3-8.7$$

Add -3.6 and 6.3 to get 2.7.

$$s=2.7-8.7$$

Subtract 8.7 from 2.7 to get -6.

$$s=-6$$

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

$$t=-6$$

The system is now solved.

$$p=6.3 q=-8.7 r=-9.9 s=-6 t=-6$$