Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions

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answer is 1.

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Detailed Solution

We have, y = 3x + 5

For x = 0 we get y = 5,

For x = 1 we get y = 8,

For x= 2 we get y = 11 and so on ..

Hence, Option (iii) is true because for every value of x, we get a corresponding value of y and vice-versa in the given equation.
Hence, given linear equation has an infinitely many solutions.

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