2xy+x+y=10 2xy-x-y=2 розв'яжіть систему. Created by veroni4kauhim07. algebra-ru

Ответ:Объяснение:

2xy+x+y=10 2xy-x-y=2 розв'яжіть систему...

veroni4kauhim07 @veroni4kauhim07

July 2022 1 16 Report

2xy+x+y=10 2xy-x-y=2 розв'яжіть систему

Answers & Comments

MatemaT123

Ответ:

$(1; 3) \quad , \quad (3; 1);$

Объяснение:

$\displaystyle \left \{ {{2xy+x+y=10} \atop {2xy-x-y=2}} \right. \Leftrightarrow \left \{ {{2xy+x+y=10} \atop {2xy-(x+y)=2}} \right. \Leftrightarrow \left \{ {{2xy=6} \atop {x+y=4}} \right. \Leftrightarrow \left \{ {{x \cdot y=3} \atop {x+y=4}} \right. \Leftrightarrow$

$\displaystyle \Leftrightarrow \left \{ {{x=1} \atop {y=3}} \right. \quad \vee \quad \left \{ {{x=3} \atop {y=1}} \right. ;$

$(1; 3) \quad , \quad (3; 1);$

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