Rozwiąż układ zadań
2x-3y/4 +1/3x = x + 1
1/6(x+9)+1/8(2-x) = 1/2-y
2x-3y/4 +1/3x = x + 1
1/6(x+9)+1/8(2-x) = 1/2-y
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Szczegółowe wyjaśnienie:
w załącznikach odpowiedź rozpisana
2x - (3y/4) + (1/3)x = x + 1
24x - 9y + 4x = 12x + 12
28x - 9y = 12x + 12
28x - 12x = 9y + 12
16x = 9y + 12
y = (16x - 12)/9
(1/6)(x + 9) + (1/8)(2 - x) = (1/2) - [(16x - 12)/9]
12(x + 9) + 9(2 - x) = 36 - 8(16x - 12)
12x + 108 + 18 - 9x = 36 - 128x + 96
3x + 126 = -128x + 132
131x = 6
x = 6/131
y = (16*(6/131) - 12)/9 = (96/131 - 12)/9 = 64/393 - 4/131 = (64 - 12*3)/393 = 28/393
Odpowiedź: x = 6/131, y = 28/393.