Himpunan penyelesaian sistem persamaan 2x+3y=6 3x-2y=-17 Adalah..?

(1) 2x+3y=6
(2) 3x-2y=-17
————
(1) x 3
(2) x 2

(1) 6x+9y=18
(2) 6x-4y=-34
———— -
13 y = 52
y= 4

subtitusi y=4 ke (1)
2x+3(4)= 6
2x+12=6
2x=-6
x= -3

x=-3, y=4

2x + 3y = 6 /×3
3x - 2y = -17 /×2

**
6x + 9y = 18
6x - 4y = - 34
___________ -
13y = 52
y = 4

2x + 3y = 6 /×2
3x - 2y = -17 /×3

**
4x + 6y = 12
9x - 6y = -51
__________ +
13x = - 39
x = -3

HP ( -3, 4 )

semoga membantu