Question

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Answer 1

\(\left\{{}\begin{matrix}2x-y=-2\\\dfrac{1}{2}x+\dfrac{2}{3}y=5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}2x-y=-2\\\dfrac{3}{4}x+y=\dfrac{15}{2}\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{11}{4}x=\dfrac{11}{2}\\2x-y=-2\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=2\\2.2-y=-2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=6\end{matrix}\right.\)