1/2 (x + 2) (y +3) – 1/2 xy = 50 1/2xy – 1/2 ( x-2) ( y – 2) = 32 giải hpt trên

Question

1/2 (x + 2) (y +3) – 1/2 xy = 50
1/2xy – 1/2 ( x-2) ( y – 2) = 32
giải hpt trên

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Lyla 3 giờ 2021-09-14T02:02:28+00:00 1 Answers 0 views 0

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    2021-09-14T02:04:17+00:00

    \(\begin{cases}\dfrac{1}{2}(x+2)(y+3)-\dfrac{1}{2}xy=50\\\dfrac{1}{2}xy-\dfrac{1}{2}(x-2)(y-2)=32\end{cases}\to\begin{cases}\dfrac{1}{2}(xy+3x+2y+6)-\dfrac{1}{2}xy=50\\\dfrac{1}{2}xy-\dfrac{1}{2}(xy-2x-2y+4)=32\end{cases}\\\to \begin{cases}\dfrac{3}{2}x+y+3=50\\x+y-2=32\end{cases}\to \begin{cases}3x+2y=94\\x+y=34\end{cases}\\\to \begin{cases}3x+2y=94\\2x+2y=68\end{cases}\to \begin{cases}x=26\\26+y=34\end{cases}\\\to \begin{cases}x=26\\y=8\end{cases}\to(x;\,y)=(26;\,8)\)

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