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Linear Equation in Two Variables

The equation ...

Question

The equation $2 x - 5 y = 9$ has:

A

no solution

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B

one solution

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C

two solutions

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D

infinitely many solutions

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Solution

The correct option is D infinitely many solutions
As can be seen the line for $2 x - 5 y = 9$ extends to infinity hence it has infinitely many solutions

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