Odpowiedź:
1) x = - 51/30 = - 1i21/30 (jedna cała i 21/30)
2) x = 10
3) x = 24
4) x = - 51/7 = - 7i2/7 (7 całych i 2/7)
Szczegółowe wyjaśnienie:
1) (x-1)/2 = 4,6 + 7x/2 [4,6 = 46/10 = 23/5] to (x-1)/2 = 23/5 + 7x/2 /•10
[obie strony równania mnożymy przez 10, /•10] to 5(x - 1) = 46 + 35x
to 5x - 5 = 46 + 35x to - 30x = 51 to x = - 51/30
2) (2,5x -2)/2 - 8x/7 = 1/14 /•14 to 7(2,5x - 2)/2 - 16x = 1 to
17,5x - 14 - 16x = 1 to 1,5x = 15 to x = 15/1,5 = 150/15 to x = 10
3) 4/9 x - 2 = 5/12 x - 1 i 1/3 to 4x/9 - 2 = 5x/12 - 4/3 to
4x/9 - 5x/12 = 2 - 4/3 [2 - 4/3 = 6/3 - 4/3 = 2/3] to
4x/9 - 5x/12 = 2/3 /•36 to 16x - 15x = 24 to x = 24
4) (x-5)/8 - 5x/12 = 1,5 to (x-5)/8 - 5x/12 = 3/2 /•24 to
3(x - 5) - 10x = 36 to 3x - 15 - 10x = 36 to - 7x =36 + 15 to - 7x = 51
to 7x = - 51 to x = - 51/7 = - 7i2/7 (7 całych i 2/7)
