Solve {l}{j=2/3}{k=7/6}{l=2-{(k-j)}}{text{Solvefor}mtext{where}}{m=l}

$$\left. \begin{array} { l } { j = \frac{2}{3} }\\ { k = \frac{7}{6} }\\ { l = 2 - {(k - j)} }\\ { \text{Solve for } m \text{ where} } \\ { m = l } \end{array} \right.$$

Solve for j, k, l, m

$$m = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Solution Steps

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

$$l=2-\left(\frac{7}{6}-\frac{2}{3}\right)$$

Subtract \frac{2}{3} from \frac{7}{6} to get \frac{1}{2}.

$$l=2-\frac{1}{2}$$

Subtract \frac{1}{2} from 2 to get \frac{3}{2}.

$$l=\frac{3}{2}$$

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

$$m=\frac{3}{2}$$

The system is now solved.

$$j=\frac{2}{3} k=\frac{7}{6} l=\frac{3}{2} m=\frac{3}{2}$$