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Quadratic Equations

If 2k -1, k i...

Question

If (2k -1, k) is a solution of the equation $10 x - 9 y = 12$ , then k is equal to

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A 2
$10 x - 9 y = 12$
$10 (2 k - 1) - 9 k = 12$
$\Rightarrow 20 k - 10 - 9 k = 12$
$\Rightarrow 11 k = 22 \Rightarrow k = 2$ .

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