Question

 

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

Answer 1

`{(-2x + 5y = 1),(3x - 2y = 4):}`

`<=> {(-6x + 15y =3),(6x - 4y = 8):}`

`<=> {(11y =11),(6x - 4y = 8):}`

`<=> {(y =1),(3x - 2.1 = 4):}`

`<=> {(y =1),(3x - 2= 4):}`

`<=> {(y =1),(3x = 6):}`

`<=> {(y =1),(x = 2):}`

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Answer 2

\(\left\{{}\begin{matrix}-2x+5y=1\\3x-2y=4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}-6x+15y=3\\6x-4y=8\end{matrix}\right.\Leftrightarrow}\left\{{}\begin{matrix}11y=11\\6x-4y=8\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=1\\x=2\end{matrix}\right.\)