" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Bab Persamaan Non LinearMatematika SMA Kelas X
1/x = a
1/y = b
1/z = c
2a + b = 2
4b + 3c = 5
3a + 2c = 3
2a + b = 2 → dikali 4 menjadi → 8a + 4b = 8
3c + 4b = 5
------------------ -
8a - 3c = 3 → dikali 2 → 16a - 6c = 6
3a + 2c = 3 → dikali 3 menjadi → 9a + 6c = 9
16a - 6c = 6
9a + 6c = 9
------------------- +
25a = 15
a = 15/25
a = 3/5
2a + b = 2
2 . 3/5 + b = 2
b = 10/5 - 6/5
b = 4/5
3a + 2c = 3
3 . 3/5 + 2c = 3
2c = 15/5 - 9/5
2c = 6/5
c = 3/5
1/x = a
1/x = 3/5
x = 5/3
1/y = b
1/y = 4/5
y = 5/4
1/z = c = a = 3/5
z = 5/3
2x - y² + 3z = 2 . 5/3 - (5/4)² + 3 . 5/3
= 10/3 - 25/16 + 5
= 160/48 - 75/48 + 240/48
= 325/48
= 6 37/48