$(2 p - 1, p)$ is a solution of equation $10 x - 9 y = 15$ , find the value of $p$ .

p = 3.63

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p = 5.15

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p = 2.27

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p = 8.45

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Solution

The correct option is D $p = 2.27$
Given, equation is: $10 x - 9 y = 15$ and also given that (2p - 1, p) is its solution hence it should satisy this equation
$∴ 10 (2 p - 1) - 9 p = 15 ⟹ 20 p - 10 - 9 p = 15 ⟹ 11 p = 15 + 10 = 25 ⟹ p = \frac{25}{11}$

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