Плс помогите срочно Решите систему уравнений: А) y-3x=9 3x+5y=9 В) х+2у=5 5х-3у=12 Б) 6х+5у=32 3х-у=2 Г) 4х-у=4 8х-3у=4
Плс помогите срочно
Решите систему уравнений:
А) y-3x=9
3x+5y=9
В) х+2у=5
5х-3у=12
Б) 6х+5у=32
3х-у=2
Г) 4х-у=4
8х-3у=4
Ответ(ы) на вопрос:
[latex] \left \{ {{y-3x=9} \atop {3x+5y=9}} \right. \left \{ {{y=3x+9} \atop {3x+5y=9}} \right. \left \{ {{y=3x+9} \atop {3x +5(3x+9)=9}} \right. \left \{ {{y=3x+9} \atop {18x+36=0}} \right. \left \{ {{y=3x+9} \atop {x=-2}} \right. \left \{ {{y=3} \atop {x=-2}} \right. (-2;3)[/latex]
[latex] \left \{ {{x+2y=5} \atop {5x-3y=12}} \right. \left \{ {{x=-2y+5} \atop {5x-3y=12}} \right. \left \{ {{x=-2y+5} \atop {5(-2y+5) - 3y = 12}} \right. \left \{ {{x=-2y+5} \atop {-13y + 13 = 0}} \right. \left \{ {{x=-2y+5} \atop {y=1}} \right. \left \{ {{x=3} \atop {y=1}} \right. (3 ; 1)[/latex]
[latex] \left \{ {{6x+5y=32} \atop {3x-y=2}} \right. \left \{ {{6x+5y=32} \atop {y=3x-2}} \right. \left \{ {{6x + 5(3x-2)=32} \atop {y=3x-2}} \right. \left \{ {{21x-42 = 0} \atop {y=3x-2}} \right. \left \{ {{x=2} \atop {y=3x-2}} \right. \left \{ {{x=2} \atop {y=4}} \right. (2 ; 4)[/latex]
[latex] \left \{ {{4x-y=4} \atop {8x-3y=4}} \right. \left \{ {{y=4x-4} \atop {8x-3y=4}} \right. \left \{ {{y=4x - 4} \atop {8x - 3(4x - 4) = 4}} \right. \left \{ {{y=4x - 4} \atop {-4x + 8 = 0}} \right. \left \{ {{y = 4x - 4} \atop {x=2}} \right. \left \{ {{y=4} \atop {x=2}} \right. (2 ; 4)[/latex]
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