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Question:

Which one of the following options is true, and why?

Solution:

In the given two variable, if we put the value of x, then we get the corresponding value of y.
if value of x = 0 then ⇒ y = 3 × 0 + 5 ⇒ y = 5
if value of x = 1 then ⇒ y = 3 × 1 + 5 ⇒ y = 8
if value of x = 2 then ⇒ y = 3 × 2 + 5 ⇒ y = 11
if value of x = 12851 then ⇒ y = 3 × 12851 + 5 ⇒ y = 38558
Hence, all these pairs (0,5), (1,8), (2,11), (12851, 38558) are the solution for the given pair of equation
Hence, the given equation had infinitely many solutions.