Question

Proszę rozwiązać układ równań.

Answer 1

(3x - 1) / 2 - (4y - 7) / 3 = 2
(3y - 6) / 4 - (5 - x) / 6 = -1 * 5/12

(3x - 1) / 2 - (4y - 7) / 3 = 2 | * 6
(3x - 1) * 3 - (4y -7) * 2 = 12
9x - 3 - (8y - 14) = 12
9x - 3 - 8y + 14 =12
9x = 12 + 3 - 14 + 8y
9x = 1 + 8y | /9
x = 1/9 + 8/9y

(3y - 6) / 4 - (5 - x) / 6 = -1(5/12) |* 12
(3y - 6) * 3 - (5-x)*2 = -17
9y - 18 - (10 - 2x) = -17
9y - 18 - 10 + 2x = -17
9y - 28 + 2x = -17
9y - 28 + 2*(1/9 + 8/9y) = -17
9y - 28 + 2/9 + 16/9y = -17
9y - 27(7/9) + 1(7/9)y = -17
 = 10(7/9)
y = 1
x = 1/9 + 8/9 = 1