Помогите пж! Очень срочно! ​

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Помогите пж! Очень срочно! ​


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Алгебра (51 баллов) | 16 просмотров
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1.

\left \{ {{x-y=-2} \atop {x-2y=4}} \right.\left \{ {{4+2y-y=-2} \atop {x=4+2y}} \right. \left \{ {{y=-6} \atop {x=4-12}} \right. \left \{ {{y=-6} \atop {x=-8}} \right.

Ответ: (-8;-6)

2.

\left \{ {{m-3n=8} \atop {2m-3n=10}} \right.\left \{ {{m=8+3n} \atop {2(8+3n)-3n=10}} \right. \left \{ {{m=8+3n} \atop {16+6n-3n=10}} \right. \left \{ {{m=8+3n} \atop {3n=-6}} \right. \left \{ {{m=8-6} \atop {n=-2}} \right. \left \{ {{m=2} \atop {n=-2}} \right.

Ответ: (2;-2)

3.

\left \{ {\frac{1}{3}(x-y)=4 } \atop {\frac{1}{4}(x+y)=2\\ }} \right\left \{ {{\frac{1}{3}(x-y)=4 } \atop {0,25x=2-0.25}} \right. \left \{ {\frac{1}{3}(8-y-y)=4 }} \atop {x=8-y}} \right. \left \{ {{\frac{8}{3}-\frac{2y}{3} =4 } \atop {x=8-y}} \right. \left \{ {{-2y:3=\frac{4}{3}} \atop {x=8-y}} \right. \left \{ {{-2y=4} \atop {x=8-y}} \right. \left \{ {{y=-2} \atop {x=8+2}} \right. \left \{ {{y=-2} \atop {x=10}} \right.

Ответ: (10;-2)

4.

\left \{ {{y-x=-3} \atop {2x+y=9}} \right.\left \{ {{9-2x-x=-3} \atop {y=9-2x}} \right. \left \{ {{-3x=-12} \atop {y=9-2x}} \right. \left \{ {{x=4} \atop {y=9-8}} \right. \left \{ {{x=4} \atop {y=1}} \right.

Ответ: (4;1)

5.

\left \{ {3m-2n=5} \atop {m+2n=15}} \right.\left \{ {{3(15-2n)-2n=5} \atop {m=15-2n}} \right. \left \{ {{45-6n-2n=5} \atop {m=15-2n}} \right. \left \{ {{-8n=-40} \atop {m=15-2n}} \right. \left \{ {{n=5} \atop {m=15-10}} \right. \left \{ {{n=5} \atop {m=5}} \right.

Ответ: (5;5)

6.

\left \{ {{\frac{1}{5}(x+y)=2 } \atop {\frac{1}{2}(x-y)=1 }} \right.\left \{ {{x+y=10} \atop {x-y=2}} \right. \left \{ {{x=10-y} \atop {10-y-y=2}} \right. \left \{ {{x=10-y} \atop {-2y=-8}} \right. \left \{ {{x=10-4} \atop {y=4}} \right. \left \{ {{x=6} \atop {y=4}} \right.

Ответ: (6;4)

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