Answer
$$a=\frac{1}{2},\:b=\frac{2}{3},\:c=-\frac{5}{6}$$
Work Step by Step
Solving the system of equations using Matrices, we find:
$$ \begin{bmatrix}4&9&0&¦&8\\ 8&0&6&¦&-1\\ 0&6&6&¦&-1\end{bmatrix}\\ \begin{bmatrix}1&0&0&¦&\frac{1}{2}\\ 0&1&0&¦&\frac{2}{3}\\ 0&0&41&¦&-\frac{5}{6}\end{bmatrix}\\ a=\frac{1}{2},\:b=\frac{2}{3},\:c=-\frac{5}{6}$$
