Question

Tentukan hp dari spldv berikut!
3/(x+y) + 4/(x-y)=5 dan 12/(x+y) - 4/(x-y)= 1

Answer 1

Misal 1/(x+y)= a
dan 1/(x-y) = b
..
3a + 4b = 5
12a - 4b = 1
jumlah
15 a = 6 --> a = 6/15 --> x+y = 15/6

3a + 4b =5
3(6/15) + 4b = 5
18/15 + 4b = 5
4b = 5 - 18/15 = 19/5
b = 19/20 --> x -y = 20/19
..
x+y = 15/6
x-y = 20/19
..(+)
2x = 3  21/38
x = 1  59/76 = 135/76
..
x+y = 15/6
y = 15/6 -  x
y = 55/76