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Question

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

y=3x+5 has ,


A

A unique solution

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B

Only two solutions

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C

Infinitely many solutions

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Solution

The correct option is C

Infinitely many solutions


The explanation for the correct option:

Solution of linear equation:

A linear equation in two variables always has an infinite number of solutions because, for every value of x, there is a corresponding y value and vice-versa.

Thus, y=3x+5 has infinitely many solutions.

Hence, the option C is correct.


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