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If 6x – 5y = 13, 7x + 2y = 23 then 11x + 18y =
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- –15
- 51
- 33
- 15
Correct Option: B
6x – 5y = 13 ...(i)
7x + 2y = 23 ...(ii)
By equation (i) × 2 + (ii) × 5,
| 12x – 10y = 26 |
| 35x + 10y = 115 |
| _______________ |
| 47x = 141 |
⇒ x = 3
From equation (i),
6 × 3 – 5y = 13
⇒ 18 – 5y = 13
⇒ 5y = 5
⇒ y = 1
∴ 11x + 18y = 11 × 3 + 18 × 1
= 33 + 18 = 51
