tentukan himpunan penyelesaian dari sistem persamaan berikut dengan metode eliminasi! 1)2x+3y=6 dan 3x-y=-2 2)4x-7y=-2 dan 2x=-3y+12 3)4x-7y=-2 dan 2x+3y=12 4 )

1.
2x + 3y = 6|× 1
3x - y = - 2|× 3

2x + 3y = 6
9x - 3y = - 6
_________+
11x = 0
x = 0

2x + 3y = 6|× 3
3x - y = - 2|× 2

6x + 9y = 18
6x - 2y = - 4
_________—
11y = 22
y = 2

2.
4x - 7y = - 2
2x = - 3y + 12

2x = - 3y + 12
2x + 3y = 12

4x - 7y = - 2|× 3
2x + 3y = 12|× 7

12x - 21y = - 6
14x + 21y = 84
__________+
26x = 78
x = 3

4x - 7y = - 2|× 1
2x + 3y = 12|× 2

4x - 7y = - 2
4x + 6y = 24
_________—
- 13y = - 26
y = 2

3.
4x - 7y = - 2|× 3
2x + 3y = 12|× 7

12x - 21y = - 6
14x + 21y = 84
__________+
26x = 78
x = 3

4x - 7y = - 2|× 1
2x + 3y = 12|× 2

4x - 7y = - 2
4x + 6y = 24
_________—
- 13y = - 26
y = 2

4.
3x - 5y = - 23|× 2
4x + 2y = 4|× 5

6x - 10y = - 46
20x + 10y = 20
___________+
26x = - 26
x = - 1

3x - 5y = - 23|× 4
4x + 2y = 4|× 3

12x - 20y = - 92
12x + 6y = 12
___________—
- 26y = - 104
y = 4

Maaf Kalau Salah