Solve {l}{-3k+b=-4}{5k+6=0}

$$\left\{ \begin{array} { l } { - 3 k + b = - 4 } \\ { 5 k + 6 = 0 } \end{array} \right.$$

Solve for k, b

$$k = -\frac{6}{5} = -1\frac{1}{5} = -1.2$$

$$b = -\frac{38}{5} = -7\frac{3}{5} = -7.6$$

Solution Steps

Consider the second equation. Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$5k=-6$$

Divide both sides by 5.

$$k=-\frac{6}{5}$$

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

$$-3\left(-\frac{6}{5}\right)+b=-4$$

Multiply -3 and -\frac{6}{5} to get \frac{18}{5}.

$$\frac{18}{5}+b=-4$$

Subtract \frac{18}{5} from both sides.

$$b=-4-\frac{18}{5}$$

Subtract \frac{18}{5} from -4 to get -\frac{38}{5}.

$$b=-\frac{38}{5}$$

The system is now solved.

$$k=-\frac{6}{5} b=-\frac{38}{5}$$