Solve {l}{-6=j/-3+-10}{k=j}{text{Solvefor}ltext{where}}{l=k}

$$\left. \begin{array} { l } { -6 = \frac{j}{-3} + -10 }\\ { k = j }\\ { \text{Solve for } l \text{ where} } \\ { l = k } \end{array} \right.$$

Solve for j, k, l

$$l=-12$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by -3.

$$18=j+30$$

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

$$j+30=18$$

Subtract 30 from both sides.

$$j=18-30$$

Subtract 30 from 18 to get -12.

$$j=-12$$

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

$$k=-12$$

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

$$l=-12$$

The system is now solved.

$$j=-12 k=-12 l=-12$$