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...(1)
...(2)
dengan metode eliminasi didapatkan:
6x - 5y = 60 x 3------------> 18x - 15y = 180
9x + 10 y = - 15 x 2-------> 18x + 20y = - 30
------------------------------------------------------- --
- 35y = 210
y = 210 : -35 = -6
substutusikan y = -6 ke persamaan (1), sehingga didapatkan:
6x - 5y = 60
6x - 5(-6) = 60
6x + 30 = 60
6x = 60 - 30
6x = 30
x = 30 : 6 = 5
dengan demikian, himpunan penyelesaian dari sistem persamaan tersebut adalah {5, -6}
x/5 - y/6 = 2 (x3) --> 3x/5 - 3y/6 = 6
3x/5 + 2y/3 = -1 (x1) --> 3x/5 + 2y/3 = -1 _
-3y/6 - 2y/3 = 7
-3y/6 - 4y/6 = 7
-7y/6 = 7
-7y = 42
y = -6
substitusi
x/5 - y/6 = 2
x/5 - (-6)/6 = 2
x/5 + 1 = 2
x/5 = 1
x = 5
Hp = {(5,-6)}
semoga membantu ya :)