tentukan himpunan penyelesaian dari 3x-y=11 2x+3y=0

Sistem Persamaan Linear Dua Variabel
SMP Kelas VIII

3x - y = 11    Ix3I
2x + 3y = 0   Ix1I
------------------------
9x - 3y = 33
2x + 3y = 0
------------------------ +
11x = 33
x = 3

3x - y = 11
3(3) - y = 11
9 - y = 11
-y = 11 - 9
-y = 2
y = -2

HP = {3, -2}

3x - y = 11 | ×2 | 6x - 2y = 22
2x + 3y = 0 | ×3 | 6x - 9y = 0 -
→ 7y = 22
y = 22/7

Substitusi :
3x - y = 11
3x - 22/7 = 77/7
3x = 77/7 + 22/7 = 99/7
x = 99/7 × 1/3 = 33/7

Jadi :
x = 33/7
y = 22/7