3x + 2y = 18 এবং 3x - y = 9 হলে, (x, y) এর মান কত?
Solution
Correct Answer: Option D
3x + 2y = 18...............(1)
3x - y = 9....................(2)
(1) + (2) × 2 ⇒
3x + 2y + 6x - 2y = 18 + 18
বা, 9x = 36
∴ x = 4
(1) ⇒
3x + 2y = 18
বা, 3 × 4 + 2y = 18
বা, 12 + 2y = 18
বা, 2y = 18 - 12
বা, 2y = 6
∴ y = 3
নির্ণেয় সমাধান (x, y) = (4, 3)
3x - y = 9....................(2)
(1) + (2) × 2 ⇒
3x + 2y + 6x - 2y = 18 + 18
বা, 9x = 36
∴ x = 4
(1) ⇒
3x + 2y = 18
বা, 3 × 4 + 2y = 18
বা, 12 + 2y = 18
বা, 2y = 18 - 12
বা, 2y = 6
∴ y = 3
নির্ণেয় সমাধান (x, y) = (4, 3)
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