Tentukan himpunan penyelesaian dari sistem persamaan 2X-3y=16 -5x+y=-27

Materi : SPLDV

2x - 3y = 16 ............. ×1
-5x + y = -27 ........... ×3
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
2x - 3y = 16
-15x + 3y = -81
◆◆◆◆◆◆◆◆◆◆◆◆◆◆ [+]
-13x = -65
x = 5

2x - 3y = 16
2(5) - 3y = 16
10 - 3y = 16
-3y = 16 - 10
-3y = 6
y = -2

Hp = {5 , -2}

2X-3y=16 | x1
-5x+y=-27 | x3

2x - 3y =16
-15x + 3y = -81
----------------------- +
-13x = -65
x = -65/-13
x = 5

2x - 3y = 16
2(5) - 3y = 16
-3y = 6
y = -2

jadi himpunan penyelesaiannya adalah (5 , -2)