Question

Tentukan penyelaisaian dari spldv berikut:3x+2y=19 2x+4y=26

Answer 1

3x + 2y = 19 | 1 |
2x + 4y = 26 | 2 |

pers. 1 dikali 2
pers. 2 dikali 1

6x + 4y = 38
2x + 4y = 26
----------------- -
4x = 12
x = 3
substitusi kan
3x + 2y = 19
3(3) + 2y = 19
9 + 2y = 19
2y = 19-9
2y = 10
y = 5

Hp = {3,5}

Answer 2

3x + 2y = 19  |×2|    6x + 4y = 38
2x + 4y = 26  |×3|  6x + 12y = 78 
                                    -8y = -40
                                       y = 5

  3x + 2y = 19
3x + 2(5) = 19
  3x + 10 = 19
          3x = 19 - 10
          3x = 9
            x = 3

Himpunan Penyelesaian = {x, y} = {3, 5}