2x + 3y = 8, 6x - 7y = - 8 হলে (x, y) = কত?

প্রশ্ন: 2x + 3y = 8, 6x - 7y = - 8 হলে (x, y) = কত?

সমাধান:
2x + 3y = 8..............(1)
6x - 7y = - 8..............(2)

(1) × 7 + (2) × 3 ⇒
14x + 21y + 18x - 21y = 56 - 24
32x = 32
x = 1

(1) ⇒
2x + 3y = 8
2 × 1 + 3y = 8
2 + 3y = 8
3y = 6
y = 2

(x, y) = (1, 2)