Question

1. which method would be the best to solve the following system of equations?

\

$$\begin{cases} 5x + 3y = -7 \\\\ -2x - 3y = 19 \\end{cases}$$

\bigcirc\\ substitution
\bigcirc\\ graphing
\bigcirc\\ elimination
\bigcirc\\ none of these methods will work.

Explanation:

The system has \(3y\) and \(-3y\), which are additive inverses. Adding the two equations will immediately eliminate the \(y\)-variable, making this the most efficient method. Substitution would require rearranging a variable first, and graphing is less precise and slower for exact solutions.

Answer:

Elimination