Question

Tentukan himpunan penyelesaian dari persamaan tersebut
2/x + 3/y = 12
3/x + 1/y = 7

Answer 1

2/x + 3/y = 12  (kali 1)
3/x + 1/y = 7     (kali 3)
-----------------------------
2/x + 3/y = 12
9/x + 3/y = 21
-------------------- (-)
-7/x = -9
x = 7/9
substitusi.
3/x + 1/y = 7
3/(7/9) + 1/y = 7
27/7 + 1/y = 7
1/y = 7 - 27/7
1/y = 22/7
y = 7/22
so, solusi = {x,y} = {7/9 , 7/22}