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Question

A linear equation in two variables ___.

A
has no solution
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B
has one solution
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C
has two solutions
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D
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 ax+by+c=0.
x=cbya
For every unique value of y, we get a unique value of x satisfying the above equation.

Therefore, a linear equation in two variables can have infinitely many solutions.

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