Question

Tentukan himpunan penyelesaian dari sistem persamaan nonlinier ini

Answer 1

Verified answer

3/(2x) + 8/(5y) = 3
4/(3y) - 1/x = 1

Misal : p = 1/x dan q = 1/y
(3/2)p + (8/5)q = 3 |kali 10| 15p + 16q = 30
(4/3)q - p = 1 .......... |kali 15| 20q - 15p = 15
----------------------------------------------------------- +
................................................. 36q = 45 => q = 45/36 = 5/4

15p + 16q = 30
15p + 16(5/4) = 30
15p + 20 = 30
15p = 10
p = 10/15 = 2/3

p = 2/3 => 1/x = 2/3 => x = 3/2
q = 5/4 => 1/y = 5/4 => y = 4/5

HP = {(3/2, 4/5)}