Ответ:
[tex]5; \quad 7;[/tex]
Пошаговое объяснение:
[tex]\displaystyle \left \{ {{x_{1}+x_{2}=12} \atop {x_{1}-x_{2}=-2}} \right. \bigg |+ \Leftrightarrow \left \{ {{x_{1}+x_{1}+x_{2}-x_{2}=12-2} \atop {x_{2}=x_{1}+2}} \right. \Leftrightarrow \left \{ {{2x_{1}=10} \atop {x_{2}=x_{1}+2}} \right. \Leftrightarrow \left \{ {{x_{1}=5} \atop {x_{2}=7}} \right. ;[/tex]
_____________________
[tex]x_{1}+x_{2}=12, \quad x_{1}-x_{2}=-2;[/tex]
[tex]x_{1}=12-x_{2}; \quad 12-x_{2}-x_{2}=-2;[/tex]
[tex]12-2x_{2}=-2; \quad 2x_{2}=12-(-2)=12+2=14; \quad x_{2}=14:2=7;[/tex]
[tex]x_{1}=12-7=5; \quad x_{1}=5; \quad x_{2}=7;[/tex]
(5;7)
x+y=12x-y=-2x=y-2 или x=12-yx=5y=12-5 или y=5+2=> y=75+7=125-7=-2(5;7)
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Ответ:
[tex]5; \quad 7;[/tex]
Пошаговое объяснение:
[tex]\displaystyle \left \{ {{x_{1}+x_{2}=12} \atop {x_{1}-x_{2}=-2}} \right. \bigg |+ \Leftrightarrow \left \{ {{x_{1}+x_{1}+x_{2}-x_{2}=12-2} \atop {x_{2}=x_{1}+2}} \right. \Leftrightarrow \left \{ {{2x_{1}=10} \atop {x_{2}=x_{1}+2}} \right. \Leftrightarrow \left \{ {{x_{1}=5} \atop {x_{2}=7}} \right. ;[/tex]
_____________________
[tex]x_{1}+x_{2}=12, \quad x_{1}-x_{2}=-2;[/tex]
[tex]x_{1}=12-x_{2}; \quad 12-x_{2}-x_{2}=-2;[/tex]
[tex]12-2x_{2}=-2; \quad 2x_{2}=12-(-2)=12+2=14; \quad x_{2}=14:2=7;[/tex]
[tex]x_{1}=12-7=5; \quad x_{1}=5; \quad x_{2}=7;[/tex]
Ответ:
(5;7)
Пошаговое объяснение:
x+y=12
x-y=-2
x=y-2 или x=12-y
x=5
y=12-5 или y=5+2
=> y=7
5+7=12
5-7=-2
(5;7)