% arara: indent: { overwrite: on, trace: yes} \begin{tabular}{p{3cm}|c|p{8cm}} Example & Choice & Why \\ \hline \hline \( \left\{ \begin{array}{rl} x+y & =6 \\ 2x+y & =8 \end{array} \right. \) & Substitution {\em or }Addition & Because it is easy to solve for $x$ in the 1st equation {\em or} Because it is easy to multiply the first equation by -1 \\ \hline \( \left\{ \begin{array}{rl} 3x-7y & =13 \\ 6x+5y & =7 \end{array} \right. \) & Addition & Because there is no obvious way to use substitution \\ \hline \( \left\{ \begin{array}{rl} x-7y & =13 \\ 6x+5y & =7 \end{array} \right. \) & Substitution & Because the first equation can easily be solved for one of the variables \end{tabular}