Solve {l}{y=kx}{y=24}{x=5}{l=k}{m=y}{n=6}{o=15}{p=20}{q=23}{text{Solvefor}r,s,t,u,v,wtext{where}}{r=l}{s=m}{t=n}{u=o}{v=p}{w=q}

$$\left. \begin{array} { l } { y = k x }\\ { y = 24 }\\ { x = 5 }\\ { l = k }\\ { m = y }\\ { n = 6 }\\ { o = 15 }\\ { p = 20 }\\ { q = 23 }\\ { \text{Solve for } r,s,t,u,v,w \text{ where} } \\ { r = l }\\ { s = m }\\ { t = n }\\ { u = o }\\ { v = p }\\ { w = q } \end{array} \right.$$

Solve for y, k, x, l, m, n, o, p, q, r, s, t, u, v, w

$$r = \frac{24}{5} = 4\frac{4}{5} = 4.8$$

$$t=6$$

$$s=24$$

$$u=15$$

$$v=20$$

$$w=23$$

Solution Steps

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

$$24=k\times 5$$

Divide both sides by 5.

$$\frac{24}{5}=k$$

Swap sides so that all variable terms are on the left hand side.

$$k=\frac{24}{5}$$

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

$$l=\frac{24}{5}$$

Consider the equation (10). Insert the known values of variables into the equation.

$$r=\frac{24}{5}$$

The system is now solved.

$$y=24 k=\frac{24}{5} x=5 l=\frac{24}{5} m=24 n=6 o=15 p=20 q=23 r=\frac{24}{5} s=24 t=6 u=15 v=20 w=23$$