tentukan himpunan penyelesaian 2x + 3y = 4 , 3x + y = -2

Menggunakan metode eliminasi campuran

2x + 3y = 4  (kali 3)
3x + y = -2  ( kali 2)

6x + 9y = 12
6x + 2y = -4
___________ -

9y - 2y = 12-(-4)
7y = 16
y = [tex] \frac{16}{7} [/tex]

6x + 9y = 12
6x + 9([tex] \frac{16}{7} [/tex]) = 12
6x + [tex] \frac{144}{7} [/tex] =12
6x = 12 - [tex] \frac{144}{7} [/tex]
6x = [tex] \frac{84 - 144}{7} [/tex]
6x = [tex] \frac{60}{7} [/tex]
x   =[tex] \frac{10}{7} [/tex]

Hp { [tex] \frac{10}{7} [/tex] , [tex] \frac{16}{7} [/tex])