Первая фотография:
![\left \{ {{\frac{x}{9}-\frac{y}{6}= -1 } \atop {5x-y = 72}} \right. \left \{ {{\frac{x}{9}-\frac{y}{6}= -1 } \atop {5x-y = 72}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7Bx%7D%7B9%7D-%5Cfrac%7By%7D%7B6%7D%3D%20-1%20%7D%20%5Catop%20%7B5x-y%20%3D%2072%7D%7D%20%5Cright.)
Выражаем y из последнего равенства и подставляем его в первое
![\left \{ {{\frac{x}{9}-\frac{y}{6}= -1 } \atop {5x - 72 = y}} \right. \left \{ {{\frac{x}{9}-\frac{y}{6}= -1 } \atop {5x - 72 = y}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7Bx%7D%7B9%7D-%5Cfrac%7By%7D%7B6%7D%3D%20-1%20%7D%20%5Catop%20%7B5x%20-%2072%20%3D%20y%7D%7D%20%5Cright.)
![\frac{x}{9} - \frac{5x-72}{6} = -1\\ \frac{x}{9} - \frac{5x-72}{6} = -1\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B9%7D%20-%20%5Cfrac%7B5x-72%7D%7B6%7D%20%3D%20-1%5C%5C)
Умножаем обе части равенства на 18, чтобы избавится от знаменателя в левой части.
![2x-3(5x-72)=-18\\2x - 15x+216 = -18\\-13x = -234\\x=18 2x-3(5x-72)=-18\\2x - 15x+216 = -18\\-13x = -234\\x=18](https://tex.z-dn.net/?f=2x-3%285x-72%29%3D-18%5C%5C2x%20-%2015x%2B216%20%3D%20-18%5C%5C-13x%20%3D%20-234%5C%5Cx%3D18)
Нашли x и подставляем его во второе равенство, чтобы найти y
![5*18 - 72 = y\\y = 18 5*18 - 72 = y\\y = 18](https://tex.z-dn.net/?f=5%2A18%20-%2072%20%3D%20y%5C%5Cy%20%3D%2018)
Вторая фотография
![\left \{ {{\frac{4x-3}{2}+\frac{5y+1}{3} =12,5 } \atop {1,5x-0,7y = -3,4}} \right. \left \{ {{\frac{4x-3}{2}+\frac{5y+1}{3} =12,5 } \atop {1,5x-0,7y = -3,4}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B4x-3%7D%7B2%7D%2B%5Cfrac%7B5y%2B1%7D%7B3%7D%20%3D12%2C5%20%7D%20%5Catop%20%7B1%2C5x-0%2C7y%20%3D%20-3%2C4%7D%7D%20%5Cright.)
Умножаем на 6 первое уравнение
![\left \{ {{3(4x-3)+2(5y+1) =75 } \atop {1,5x-0,7y = -3,4}} \right. \\\left \{ {{12x = 82-10y} \atop {1,5x-0,7y = -3,4}} \right. \\\\x = \frac{82-10y}{12} \left \{ {{3(4x-3)+2(5y+1) =75 } \atop {1,5x-0,7y = -3,4}} \right. \\\left \{ {{12x = 82-10y} \atop {1,5x-0,7y = -3,4}} \right. \\\\x = \frac{82-10y}{12}](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B3%284x-3%29%2B2%285y%2B1%29%20%3D75%20%7D%20%5Catop%20%7B1%2C5x-0%2C7y%20%3D%20-3%2C4%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7B12x%20%3D%2082-10y%7D%20%5Catop%20%7B1%2C5x-0%2C7y%20%3D%20-3%2C4%7D%7D%20%5Cright.%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B82-10y%7D%7B12%7D)
Подставляем во второе уравнение
![1,5*\frac{82-10y}{12}-0,7 = -3,4\\ 1,5*\frac{82-10y}{12}-0,7 = -3,4\\](https://tex.z-dn.net/?f=1%2C5%2A%5Cfrac%7B82-10y%7D%7B12%7D-0%2C7%20%3D%20-3%2C4%5C%5C)
Умножаем на 12 обе части
![123 - 15y - 8,4y = -40,8\\-23,4y = -163,8\\y = 7 123 - 15y - 8,4y = -40,8\\-23,4y = -163,8\\y = 7](https://tex.z-dn.net/?f=123%20-%2015y%20-%208%2C4y%20%3D%20-40%2C8%5C%5C-23%2C4y%20%3D%20-163%2C8%5C%5Cy%20%3D%207)
Находим x
![1,5 x-0,7*7 = -3,4\\x = 1 1,5 x-0,7*7 = -3,4\\x = 1](https://tex.z-dn.net/?f=1%2C5%20x-0%2C7%2A7%20%3D%20-3%2C4%5C%5Cx%20%3D%201)