MCQ
The equation $2x + 5y = 7$ has a unique solution, if $x, y$ are:
  • A
    Rational numbers
  • B
    Real numbers
  • Natural numbers
  • D
    Positive real numbers

Answer

Correct option: C.
Natural numbers
The equation $2 x+5 y=7$ has a unique solution, if $x, y$ are natural numbers.
In natural numbers, there exists only one pair $(1,1)$ which satisfies the given equation.
But for rational numbers, real numbers, positive real numbers, there exist many solution pairs to satisfy the equation.

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