If 6x – 5y = 13, 7x + 2y = 23 then 11x + 18y = ?

2025

If 6x – 5y = 13, 7x + 2y = 23 then 11x + 18y = ?

  1. A.

    – 15

  2. B.

    51

  3. C.

    33

  4. D.

    15

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Show answer & explanation

Correct answer: B

Correct Option: B

6x – 5y = 13 ...... (i)

7x + 2y = 23 ...... (ii)

By equation (i) × 2 & (ii) × 5,

12x – 10y = 26 ..... (iii)

35x + 10y = 115 ...... (iv)

by solving these equation we get

x = 3, y = 1

∴ 11x + 18y = 11 × 3 + 18 × 1 = 33 + 18 = 51.

Hence, option B is correct.

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