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Solution of Linear Equation in 2 Variables

If 2k - 1, k ...

Question

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

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 B
2

$∵ (2 k - 1, k)$ is a solution of the equation

$10 x - 9 y = 12$

Substituting the value of x and y in the equation

$10 (2 k - 1) - 9 k = 12 \Rightarrow 20 k - 10 - 9 k = 12 \Rightarrow 20 k - 9 k = 12 + 10 \Rightarrow 11 k = 22 \Rightarrow k = \frac{22}{11} = 2 ∴ k = 2$

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