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Question -

If (2k – 1, k) is a solution of the equation 10x – 9y = 12, then k =
(a) 1                           
(b) 2
(c) 3                           
(d) 4



Answer -

∵  (2k – 1, k) is a solution of the equation 10x – 9y = 12
Substituting the value of x and y in the equation
10(2k – 1) – 9k = 12
⇒ 20k – 10-9k= 12
⇒  20k – 9k = 12 + 10
⇒  11k = 22
⇒  k =22/11  = 2
∴  k = 2                                                 (b)

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