Solve

5x - 3y = 16
4x - 5y = 5

(3,5)

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(3,-5)

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(5,3)

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(-3,5)

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Solution

The correct option is C (5,3)
Given equations:

5x - 3y = 16......(i)
4x - 5y = 5........(ii)

Multiply (i) by 5 and (ii) by 3 we get

25x – 15y = 80....(iii)
12x - 15y = 15......(iv)

Subtracting (iv) from (iii) we get

13x = 65
$\Rightarrow$ x = 5

substituting x in (i) we get

5(5) - 3y = 16
25 - 3y = 16
$\Rightarrow$ y = 3

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