Odpowiedź:
e)
1/2(y + 3/4) + 1/4(2y - 1/2) = y + 1/4
1/2y + 3/8 + 1/2y - 1/8 = y + 1/4
y - y = 1/4 - 3/8
0 = 2/8 - 3/8 = -1/8
rownanie sprzeczne
f)
1/5(y - 3) - 2/3(y - 3/5) + 1/3 = 2/5 - 1/3(2y - 3)
1/5y - 3/5 - 2/3y + 2/5 + 1/3 = 2/5 - 2/3y + 1
1/5y - 2/3y + 2/3y = 1 2/5 + 3/5 - 2/5 - 1/3
1/5y = 1 3/5 - 1/3 /*5
y = 5(1 9/15 - 5/15) = 5 * 1 4/15 = 5 * 19/15 = 19/3 = 6 1/3
g)
(y - 2)/3 + 1/15 - (2y - 5)/3 = (8 - 4y)/5
1/3y - 2/3 + 1/15 - 2/3y + 5/3 = 1/5 - 4/5y
-1/3y + 4/5y = 1/5 - 1/5 - 1 2/3
-5/15y + 12/15y = -5/3
7/15y = -5/3 /*15/7
y = -5/3 * 15/7 = - 25/7 = -3 4/7
h)
(y - 5)/2 + (2y + 3)/5 + 1/3 = (y + 7)/15 + y/2
1/2y - 5/2 + 2/5y + 3/5 + 1/3 = 1/15y + 7/15 + 1/2y
1/2y - 1/2y + 2/5y - 1/15y = 7/15 + 2 1/2 - 3/5 - 1/3
6/15y - 1/15y = 7/15 - 9/15 + 2 3/6 - 2/6
5/15y = -2/15 + 2 1/6
1/3y = -4/30 + 2 5/30 /*3
y = 3 * 2 1/30 = 3 * 61/30 = 61/10 = 6,1
Szczegółowe wyjaśnienie:
