Solve {l}{5/9=m/63}{n={(frac{0*{(35)}+1}{35})}}{o=0*1}{p=0*7}{q=0*35}{text{Solvefor}r,s,t,utext{where}}{r=n}{s=o}{t=p}{u=q}

$$\left. \begin{array} { l } { \frac{5}{9} = \frac{m}{63} }\\ { n = {(\frac{0 \cdot {(35)} + 1}{35})} }\\ { o = 0 \cdot 1 }\\ { p = 0 \cdot 7 }\\ { q = 0 \cdot 35 }\\ { \text{Solve for } r,s,t,u \text{ where} } \\ { r = n }\\ { s = o }\\ { t = p }\\ { u = q } \end{array} \right.$$

Solve for m, n, o, p, q, r, s, t, u

$$r=\frac{1}{35}\approx 0.028571429$$

$$t=0$$

$$s=0$$

$$u=0$$

Solution Steps

Consider the first equation. Multiply both sides by 63.

$$\frac{5}{9}\times 63=m$$

Multiply \frac{5}{9} and 63 to get 35.

$$35=m$$

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

$$m=35$$

Consider the second equation. Multiply 0 and 35 to get 0.

$$n=\frac{0+1}{35}$$

Add 0 and 1 to get 1.

$$n=\frac{1}{35}$$

Consider the third equation. Multiply 0 and 1 to get 0.

$$o=0$$

Consider the fourth equation. Multiply 0 and 7 to get 0.

$$p=0$$

Consider the fifth equation. Multiply 0 and 35 to get 0.

$$q=0$$

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

$$r=\frac{1}{35}$$

Consider the equation (7). Insert the known values of variables into the equation.

$$s=0$$

Consider the equation (8). Insert the known values of variables into the equation.

$$t=0$$

Consider the equation (9). Insert the known values of variables into the equation.

$$u=0$$

The system is now solved.

$$m=35 n=\frac{1}{35} o=0 p=0 q=0 r=\frac{1}{35} s=0 t=0 u=0$$