Solve {l}{1.75k=90}{l=k}{text{Solvefor}mtext{where}}{m=l}

$$\left. \begin{array} { l } { 1.75 k = 90 }\\ { l = k }\\ { \text{Solve for } m \text{ where} } \\ { m = l } \end{array} \right.$$

Solve for k, l, m

$$m = \frac{360}{7} = 51\frac{3}{7} \approx 51.428571429$$

Solution Steps

Consider the first equation. Divide both sides by 1.75.

$$k=\frac{90}{1.75}$$

Expand \frac{90}{1.75} by multiplying both numerator and the denominator by 100.

$$k=\frac{9000}{175}$$

Reduce the fraction \frac{9000}{175} to lowest terms by extracting and canceling out 25.

$$k=\frac{360}{7}$$

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

$$l=\frac{360}{7}$$

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

$$m=\frac{360}{7}$$

The system is now solved.

$$k=\frac{360}{7} l=\frac{360}{7} m=\frac{360}{7}$$