Solve {l}{b=-6}{c=1}{-b/2a=-3}

$$\left\{ \begin{array} { l } { b = - 6 } \\ { c = 1 } \\ { - b / 2 a = - 3 } \end{array} \right.$$

Solve for b, c, a

$$b=-6$$

$$c=1$$

$$a=-1$$

Solution Steps

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

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

Multiply both sides of the equation by 2.

$$\left(-\left(-6\right)\right)a=-6$$

The opposite of -6 is 6.

$$6a=-6$$

Divide both sides by 6.

$$a=\frac{-6}{6}$$

Divide -6 by 6 to get -1.

$$a=-1$$

The system is now solved.

$$b=-6 c=1 a=-1$$