Question

1. which method is best for solving the system of linear equations shown? \\(\

$$\begin{cases} 2x + 6y = 12 \\\\ 3x - 6y = 3 \\end{cases}$$

\\) \\(\bigcirc\\) graphing \\(\bigcirc\\) elimination \\(\bigcirc\\) substitution

Explanation:

To determine the best method for solving the system \(

$$\begin{cases}2x + 6y = 12\\3x - 6y = 3\end{cases}$$

\), we analyze the coefficients of \(y\): they are \(6\) and \(-6\), which are opposites. The elimination method (also called the addition method) is ideal here because adding the two equations will eliminate the \(y\)-variable immediately. Graphing would require converting to slope - intercept form and plotting, which is more time - consuming. Substitution would involve solving one equation for a variable (e.g., \(x\) or \(y\)) and substituting, which is more complex than simply adding the equations to eliminate \(y\).

Answer:

B. elimination