{x+y =40 {(x+3)(y+5)=xy+195 giải hộ mk vs ạ

Question

{x+y =40
{(x+3)(y+5)=xy+195
giải hộ mk vs ạ

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Claire 2 giờ 2021-10-12T01:43:02+00:00 2 Answers 0 views 0

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    2021-10-12T01:44:17+00:00

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    2021-10-12T01:44:58+00:00

    $\begin{cases}x +y=40\\(x+3)(y+5)=xy+195\end{cases}$

     `⇒`$\begin{cases}x +y=40\\x y+5x+3y+15=xy+195\end{cases}$

    `⇒`$\begin{cases}x +y=40\\5x+3y=180\end{cases}$

    `⇒`$\begin{cases}3x +3y=120(1)\\5x+3y = 180(2)\end{cases}$

    `(2)-(1)=180-120`

    `⇒2x=60`

    `⇒x=30`

    `⇒y=40-30=10`

     

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