Question

Answer 1

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

b, \(\left\{{}\begin{matrix}2x-4y=10\\2x+y=8\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5y=-2\\x=5+2y\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=-\dfrac{2}{5}\\x=5-\dfrac{4}{5}=\dfrac{21}{5}\end{matrix}\right.\)

c, \(\left\{{}\begin{matrix}9x+3y=9\\2x-3y=6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{15}{11}\\y=3-3x=-\dfrac{12}{11}\end{matrix}\right.\)