[tex]\left\{\begin{array}{ccc}-24x+6y=18\\-8x+2y=6&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-24x+6y=18\\24x-6y=-18\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad0=0\\\\Answer:\ \boxed{\text{The system is dependent }}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=4x+3\end{array}\right[/tex]
