решите системы уравнений:
1)2x+3y=1
6x-2y=14
2)3x-2y=5
5x+4y=1
3)2x-3y=5
3x+2y=14
заранее спасибо)
Ответы
Ответ дал:
1
1)
![\left \{ {{2x+3y=1|*3} \atop {6x-2y=14}} \right. \\ -\left \{ {{6x+9y=3} \atop {6x-2y=14}} \right. \\ \\ 6x+9y-6x+2y=3-14 \\ 11y=-11 \\ y=-1 \\ \\ 2x=1-3y \\ x= \frac{1-3y}{2} = \frac{1+3}{2} =2 \\ x=2 \left \{ {{2x+3y=1|*3} \atop {6x-2y=14}} \right. \\ -\left \{ {{6x+9y=3} \atop {6x-2y=14}} \right. \\ \\ 6x+9y-6x+2y=3-14 \\ 11y=-11 \\ y=-1 \\ \\ 2x=1-3y \\ x= \frac{1-3y}{2} = \frac{1+3}{2} =2 \\ x=2](https://tex.z-dn.net/?f=%5Cleft+%5C%7B+%7B%7B2x%2B3y%3D1%7C%2A3%7D+%5Catop+%7B6x-2y%3D14%7D%7D+%5Cright.++%5C%5C+-%5Cleft+%5C%7B+%7B%7B6x%2B9y%3D3%7D+%5Catop+%7B6x-2y%3D14%7D%7D+%5Cright.+%5C%5C+%5C%5C+6x%2B9y-6x%2B2y%3D3-14+%5C%5C+11y%3D-11+%5C%5C+y%3D-1+%5C%5C+%5C%5C+2x%3D1-3y+%5C%5C+x%3D+%5Cfrac%7B1-3y%7D%7B2%7D+%3D+%5Cfrac%7B1%2B3%7D%7B2%7D+%3D2+%5C%5C+x%3D2)
Ответ:![(2;-1) (2;-1)](https://tex.z-dn.net/?f=%282%3B-1%29)
2)
![\left \{ {{3x-2y=5|*2} \atop {5x+4y=1}} \right. \\ +\left \{ {{6x-4y=10} \atop {5x+4y=1}} \right. \\ \\ 6x-4y+5x+4y=10+1 \\ 11x=11 \\ x=1 \\ \\ 2y=3x-5 \\ y= \frac{3x-5}{2} = \frac{3-5}{2} =-1 \\ y=-1 \left \{ {{3x-2y=5|*2} \atop {5x+4y=1}} \right. \\ +\left \{ {{6x-4y=10} \atop {5x+4y=1}} \right. \\ \\ 6x-4y+5x+4y=10+1 \\ 11x=11 \\ x=1 \\ \\ 2y=3x-5 \\ y= \frac{3x-5}{2} = \frac{3-5}{2} =-1 \\ y=-1](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B3x-2y%3D5%7C%2A2%7D+%5Catop+%7B5x%2B4y%3D1%7D%7D+%5Cright.++%5C%5C++%2B%5Cleft+%5C%7B+%7B%7B6x-4y%3D10%7D+%5Catop+%7B5x%2B4y%3D1%7D%7D+%5Cright.+++%5C%5C+%5C%5C+6x-4y%2B5x%2B4y%3D10%2B1+%5C%5C+11x%3D11+%5C%5C+x%3D1+%5C%5C++%5C%5C+2y%3D3x-5+%5C%5C+y%3D+%5Cfrac%7B3x-5%7D%7B2%7D+%3D+%5Cfrac%7B3-5%7D%7B2%7D+%3D-1+%5C%5C+y%3D-1)
Ответ:![(1;-1) (1;-1)](https://tex.z-dn.net/?f=%281%3B-1%29)
3)
![\left \{ {{2x-3y=5}|*2} \atop {3x+2y=14|*3}} \right. \\ + \left \{ {{4x-6y=10} \atop {9x+6y=42}} \right. \\ \\ 4x-6y+9x+6y=10+42 \\ 13x=52 \\ x=4 \\ \\ 2y=14-3x \\ y= \frac{14-3x}{2} = \frac{14-12}{2} =1 \\ y=1 \left \{ {{2x-3y=5}|*2} \atop {3x+2y=14|*3}} \right. \\ + \left \{ {{4x-6y=10} \atop {9x+6y=42}} \right. \\ \\ 4x-6y+9x+6y=10+42 \\ 13x=52 \\ x=4 \\ \\ 2y=14-3x \\ y= \frac{14-3x}{2} = \frac{14-12}{2} =1 \\ y=1](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2x-3y%3D5%7D%7C%2A2%7D+%5Catop+%7B3x%2B2y%3D14%7C%2A3%7D%7D+%5Cright.+%5C%5C+%2B++%5Cleft+%5C%7B+%7B%7B4x-6y%3D10%7D+%5Catop+%7B9x%2B6y%3D42%7D%7D+%5Cright.++%5C%5C++%5C%5C+4x-6y%2B9x%2B6y%3D10%2B42+%5C%5C+13x%3D52+%5C%5C+x%3D4+%5C%5C++%5C%5C+2y%3D14-3x+%5C%5C+y%3D+%5Cfrac%7B14-3x%7D%7B2%7D+%3D+%5Cfrac%7B14-12%7D%7B2%7D+%3D1+%5C%5C+y%3D1)
Ответ:
Ответ:
2)
Ответ:
3)
Ответ:
Ответ дал:
2
htitybt во вложенииииииииииииииииииииииии
Приложения:
![](https://st.uroker.com/files/7ba/7ba3468d02a21dc0d9ff4414d6aeea42.jpg)
Вас заинтересует
10 месяцев назад
10 месяцев назад
1 год назад
1 год назад
5 лет назад
5 лет назад
7 лет назад