Let a = 3 2 and b = 1 5^ 1/6 6 . If x, y R are such that 3x + 2y = _a(18)^ 5 4 and 2x - y = _b ( 1080 ), then 4x + 5y is equal to _____.

JEE Advanced 2024 Mathematics question

Let and . If are such that

3x + 2y = and

2x - y = (),

then is equal to .

Answer: 8

, so and . , so and $2x-y =

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Question ID VK-034171