Solve {l}{n=3}{d=3.5}{o=5+n*4}{p=7.5*{(d-2.5)}}{text{Solvefor}q,rtext{where}}{q=o}{r=p}

$$\left. \begin{array} { l } { n = 3 }\\ { d = 3.5 }\\ { o = 5 + n \cdot 4 }\\ { p = 7.5 \cdot {(d - 2.5)} }\\ { \text{Solve for } q,r \text{ where} } \\ { q = o }\\ { r = p } \end{array} \right.$$

Solve for n, d, o, p, q, r

$$r=7.5$$

$$q=17$$

Solution Steps

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

$$o=5+3\times 4$$

Multiply 3 and 4 to get 12.

$$o=5+12$$

Add 5 and 12 to get 17.

$$o=17$$

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

$$p=7.5\left(3.5-2.5\right)$$

Subtract 2.5 from 3.5 to get 1.

$$p=7.5\times 1$$

Multiply 7.5 and 1 to get 7.5.

$$p=7.5$$

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

$$q=17$$

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

$$r=7.5$$

The system is now solved.

$$n=3 d=3.5 o=17 p=7.5 q=17 r=7.5$$