A linear equation in two variables

Has no solution

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Has one solution

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Has two solutions

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Has infinitely many solutions

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Solution

The correct option is D
Has infinitely many solutions

A linear equation in two variables is of the form $x + b y + c = 0$
$\Rightarrow x = - c - b y$
For every unique value of x, we get a unique value of y satisfying the above equation. Therefore, a linear equation in two variables can have infinitely many solutions.

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