Odpowiedź:
a)
3/x = 5/7
5x = 3 * 7 /:5
x = 21/5 = 4 1/5
b)
8/3,5 = 4/y
4 * 3,5 = 8y
14 = 8y /:8
y = 14/8 = 1 6/8 = 1 3/4
c)
5/6 = (1 + t)/10
1/10 + 1/10t = 5/6
1/10t = 5/6 - 1/10 /*10
t = 10(25/30 - 3/30) = 10 * 22/30 = 22/3 = 7 1/3
d)
1/(x - 1) = 6,5/8
6,5(x - 1) = 8
6,5x - 6,5 = 8
6,5x = 8 + 6,5 /:6,5
x = 14,5 : 6,5 = 145/10 : 65/10 = 145/10 * 10/65 = 145/65 = 29/13 = 2 3/13
e)
(2p - 5)/3 = 4/5
2/3p - 5/3 = 4/5
2/3p = 4/5 + 1 2/3 /*3/2
p = 3/2(12/15 + 1 10/15) = 3/2(1 22/15) = 3/2 * 27/15 = 27/10 = 2,7
f)
10/1,5 = 8/(9 - 3n)
10(9 - 3n) = 1,5 * 8
90 - 30n = 12
-30n = 12 - 90 /:(-30)
n = 78/30 = 2,6
Szczegółowe wyjaśnienie:
