2.4.4 Determining the Best Method for Solving a System of Equations

Compare your answer:

Your answer may vary, but here is a sample. $\frac{1}{2}y+-\frac{1}{2}y=0$, so adding the equations would eliminate the $y$-variable and enable solving for $x$.

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$\frac{3}{2}$ or equivalent

Compare your answer:

Your answer may vary, but here is a sample.

$$\begin{gathered} \begin{array}{c}\hfill \underset{―}{2x+\frac{1}{2}y=7 \\ +6x-\frac{1}{2}y=5}\\ \hfill 8x=12\\ \hfill x=\frac{12}{8}\\ \hfill x=\frac{3}{2}\end{array} \end{gathered}$$