Odpowiedź:
a)
3/2x + 0,7 = -0,3x - 3/4
3/2x + 7/10 = -3/10x - 3/4
3/2x + 3/10x = -3/4 - 7/10
15/10x + 3/10x = -15/20 - 14/20
18/10x = -29/20
9/5x = -29/20 /*5/9
x = -29/20 * 5/9 = -29/36
b)
2/7(1,4x + 21) = -3/5x
2/7 * 14/10x + 6 = -3/5x
2/5x + 3/5x = -6
5/5x = -6
x = -6
c)
(1,8x - 5/6)/2 = (2,3x + 2/3)/5
0,9x - 5/12 = 23/10 * 1/5x + 2/3 * 1/5
0,9x - 5/12 = 23/50x + 2/15
0,9x - 46/100x = 2/15 + 5/12
0,9x - 0,46x = 8/60 + 25/60
0,44x = 33/60
44/100x = 11/20 /*100/44
x = 11/20 * 100/44 = 5/4 = 1 1/4
d)
-1,8(2/9 - 0,5x) = 5/8(4x + 2,4)
-18/10 * 2/9 + 18/10 * 1/2x = 5/2x + 5/8 * 24/10
-2/5 + 9/10x = 5/2x + 3/2
9/10x - 5/2x = 3/2 + 2/5
9/10x - 25/10x = 1,5 + 0,4
-1,6x = 1,9 /:(-1,6)
x = -19/10 : 16/10 = -19/10 * 10/16 = -19/16 = -1 3/16
Szczegółowe wyjaśnienie:
