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Find the value of x and y:
9x - 2y = 108, 3x + 7y = 105

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x = 14 and y = 9

x = 5 and y = -10

x = 20 and y = -10

x = 15 and y = -10

answer is C.

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Detailed Solution

Given system of equations are:

9x - 2y = 108 —-(i)

3x + 7y = 105 —-(ii)

Multiply (i) by 7 and (ii) by 2, we get:

63x + 6x = 108 × 7 + 105 × 2

69x = 966

x = 14

Now, Substituting x = 14 in (i), we get:

9 × 14 - 2y = 108

2y = 126-108

y = 9

Hence, x = 14 and y = 9.

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