Решите систему уравнений : х-1 y + =2 4 6 х+2 y - - вопрос №1246225647628033 от Lopkrtjvbbcx 10.05.2022 22:49

Question

Алгебра: Решите систему уравнений : х-1 y + =2 4 6 х+2 y - = -2,5 6 4

Lopkrtjvbbcx · Answer

{ (x-1)/4 + y/6 = 2{ (x+2)/6 - y/4 = -2,5{ y/6 = 2 - (x-1)/4{ (x+2)/6 - y/4 = -2,5{ y = 12 - 3(x-1)/2{ (x+2)/6 - y/4 = -2,5(x+2)/6 - (12 - 3(x-1)/2)/4 = -2,5(x+2)/6 - 3 + 3(x-1)/8 = -2,54(x+2)/24 + 9(x-1)/24 = -2,5 +3(4(x+2) + 9(x-1))/24 = 0,5(4x +8 +9x -9)/24 = 0,5(13x -1)/24 = 0,513x -1 = 1213x = 13x = 1(1-1)/4 +y/6 = 2y/6 = 2y = 12Проверка:(1+2)/6 - 12/4 = -2,53/6 - 3 = -2,50,5 - 3 = -2,5-2,5 = -2,5ответ: (1; 12)....