2x + 3y = 1 এবং 5x - 2y + 7 = 0 সমীকরণদ্বয়ের সমাধান কত?

A (1,1)

B (3,4)

C (–1, 1)

D (2,-1)

Solution

Correct Answer: Option C

2x + 3y = 1.............. (i)


5x – 2y  +7 = 0

বা, 5x - 2y = -7......... (ii)


[(i) × 5 - (ii) × 2] ⇒ 15у + 4y = 5 + 14

বা, 19y = 19

বা, y = 1

(ii) হতে, 5x - 2 × 1 = -7

বা, 5x = -7 + 2

বা, 5x = -5

বা, x = -1

∴ (x, y) = (-1, 1)

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