Question

Penyelesaian dari sistem persamaan ; 2/x + 3/y=2 dan 4/x - 9/y = -1

tolong jawab ya, pliss :(

Answer 1

2/x + 3/y = 2
(2y + 3x) / xy = 2
2y + 3x = 2xy

4/x - 9/y = -1
(4y - 9x) / xy = -1
4y - 9x = -xy

eliminasi :
4y + 6x = 4xy
4y - 9x = -xy
_____________-
15x = 5xy
3 = y

substitusi :
2(3) + 3x = 2x(3)
6 + 3x = 6x
6 = 3x
x = 6/3 = 2

jadi, x = 2 dan y = 3

Answer 2

2/x + 3/y = 2 | kali 2|
4/x - 9/y = - 1 |kali 1|
________________ -
15/y = 5
y = 3

2/x + 1 = 2
2/x = 1
x = 2