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Question -

If (a, 4) lies on the graph of 3x + y = 10, then the value of a is
(a) 3                           
(b) 1
(c) 2                           
(d) 4



Answer -

∵  (a, 4) is the solution of the equation 3x + y = 10
∴ x = a, y = 4 will satisfy the equation
∴ Substituting the value of x and y in the equation
3 xa + 4= 10 ⇒  3a =10- 4 = 6
⇒  a =  6/3 = 2
∴ a = 2                                           (c)

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