2x + 3y = 7, 6x - 7y = 5 সমীকরণদ্বয়ের সমাধান কত?

A (3,2)

B (2,1)

C (1,4)

D (2,3)

Solution

Correct Answer: Option B

2x + 3y = 7..............(1)
6x - 7y = 5..............(2)

(1) × 7 + (2) × 3 ⇒
14x + 21y + 18x - 21y = 49 + 15
⇒ 32x = 64
⇒ x = 2

(1) হতে পাই,
2 × 2 + 3y = 7
⇒ 4 + 3y = 7
⇒ 3y = 7 - 4
⇒ 3y = 3
⇒ y = 1

∴ নির্ণেয় সমাধান (x,y) = (2,1)

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