Solve {l}{4k-10/k=8}{l=k}{text{Solvefor}mtext{where}}{m=l}

$$\left. \begin{array} { l } { \frac{4 k - 10}{k} = 8 }\\ { l = k }\\ { \text{Solve for } m \text{ where} } \\ { m = l } \end{array} \right.$$

Solve for k, l, m

$$m = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Solution Steps

Consider the first equation. Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by k.

$$4k-10=8k$$

Subtract 8k from both sides.

$$4k-10-8k=0$$

Combine 4k and -8k to get -4k.

$$-4k-10=0$$

Add 10 to both sides. Anything plus zero gives itself.

$$-4k=10$$

Divide both sides by -4.

$$k=\frac{10}{-4}$$

Reduce the fraction \frac{10}{-4} to lowest terms by extracting and canceling out 2.

$$k=-\frac{5}{2}$$

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

$$l=-\frac{5}{2}$$

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

$$m=-\frac{5}{2}$$

The system is now solved.

$$k=-\frac{5}{2} l=-\frac{5}{2} m=-\frac{5}{2}$$