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

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

Solve for b, k

$$b=6$$

$$k=-\frac{1}{4}=-0.25$$

Solution Steps

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

$$-6+b=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$b=6$$

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

$$5=4k+6$$

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

$$4k+6=5$$

Subtract 6 from both sides.

$$4k=5-6$$

Subtract 6 from 5 to get -1.

$$4k=-1$$

Divide both sides by 4.

$$k=-\frac{1}{4}$$

The system is now solved.

$$b=6 k=-\frac{1}{4}$$