The equations 2x - 3y + 5 = 0 and 6y - 4x = 10, when solved simultaneously have

only one solutions

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no solutions

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only two solutions

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infinite number of solutions

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Solution

The correct option is D infinite number of solutions
The given equations are
$2 x - 3 y + 5 = 0$
and $6 y - 4 x = 10$ => $3 y - 2 x = 5$ => $2 x - 3 y + 5 = 0$
Since the equations are same, they will have infinitely large number of solutions.

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2 x - 3 y + 5 = 0

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