Question

Tentukan penyelesaian dari SPDLV 2x + 3y - 8=0 dan 3x + 2y - 7=0. Dengan Menggunakan Metode Eliminasi???

Answer 1

2x + 3y - 8 = 0
2x + 3y = 8

3x + 2y - 7 = 0
3x + 2y = 7

Eliminasi y
2x + 3y = 8 |×2
3x + 2y = 7 |×3
----------------------
4x + 6y = 16
9x + 6y = 21
---------------------- -
-5x = -5
x = 1

Eliminasi x
2x + 3y = 8 |×3
3x + 2y = 7 |×2
----------------------
6x + 9y = 24
6x + 4y = 14
---------------------- -
5y = 10
y = 2

Maka x = 1 dan y = 2

Answer 2

Pembahasan.

1. Untuk metode eliminasi kita perlu menyamakan variabelnya.

Mari kita terapkan.

2x + 3y - 8 = 0
2x + 3y = 8

3x + 2y - 7 = 0
3x + 2y = 7

2x + 3y = 8 | × 3 |
3x + 2y = 7 | × 2 |

6x + 9y = 24
6x + 4y = 14
__________ -
5y = 10
y = 2

2x + 3y = 8 | × 2 |
3x + 2y = 7 | × 3 |

4x + 6y = 16
9x + 6y = 21
__________ -
- 5x = - 5
x = 1


HP = {x,y} {1,2}