а) 2 · (2/5z + 1) + 3 1/3 = 4 - 1/2 · (4/5z - 1)
4/5z + 2 + 3 1/3 = 4 - 2/5z + 1/2
4/5z + 5 1/3 = 4 1/2 - 2/5z
4/5z + 2/5z = 4 1/2 - 5 1/3
6/5z = 4 3/6 - 5 2/6
6/5z = -5/6
z = -5/6 : 6/5
z = -5/6 · 5/6
z = -25/36
- - - - - - - - - - - - - - - - - - - -
б) 5 - (1 1/2v + 1/3) · 6 = 2 1/3v - 5 1/2
5 - (3/2v + 1/3) · 6 = 2 1/3v - 5 1/2
5 - 9v - 2 = 2 1/3v - 5 1/2
3 - 9v = 2 1/3v - 5 1/2
-9v - 2 1/3v = -5 1/2 - 3
-11 1/3v = -8 1/2
-34/3v = -17/2
v = -17/2 : (-34/3)
v = 17/2 · 3/34 = (1·3)/(2·2)
v = 3/4 (или 0,75 в десятичных дробях)
а) 2 · (2/5z + 1) + 3 1/3 = 4 - 1/2 · (4/5z - 1)
4/5z + 2 + 3 1/3 = 4 - 2/5z + 1/2
4/5z + 5 1/3 = 4 1/2 - 2/5z
4/5z + 2/5z = 4 1/2 - 5 1/3
6/5z = 4 3/6 - 5 2/6
6/5z = -5/6
z = -5/6 : 6/5
z = -5/6 · 5/6
z = -25/36
- - - - - - - - - - - - - - - - - - - -
б) 5 - (1 1/2v + 1/3) · 6 = 2 1/3v - 5 1/2
5 - (3/2v + 1/3) · 6 = 2 1/3v - 5 1/2
5 - 9v - 2 = 2 1/3v - 5 1/2
3 - 9v = 2 1/3v - 5 1/2
-9v - 2 1/3v = -5 1/2 - 3
-11 1/3v = -8 1/2
-34/3v = -17/2
v = -17/2 : (-34/3)
v = 17/2 · 3/34 = (1·3)/(2·2)
v = 3/4 (или 0,75 в десятичных дробях)