Question Determine if ordered pairs satisfy a system of two linear equations: $y = \frac{1}{3}x - 2, y = \frac{2}{6}x - \frac{12}{6}$. Complete a table and find the number of solutions.

Studdy Solution
Since both equations are identical after simplification, they represent the same line. Therefore, the system of equations has infinitely many solutions.
The completed table is as follows: \begin{tabular}{|c|c|} \hline Ordered Pair & Satisfies the System \\ \hline$(9,1)$ & Yes \\ \hline$(18,4)$ & Yes \\ \hline$(-6,-4)$ & Yes \\ \hline \end{tabular}
Part B: Based on the results from the table, this system of equations has infinitely many solutions.