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The equation 2x + 5y = 7 has a unique solution, if x, y are:
- a)Natural Numbers
- b)Positive real numbers
- c)Real Numbers
- d)Rational Numbers
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The equation 2x + 5y = 7 has a unique solution, if x, y are:a)Natural ...
In natural numbers, there is only one pair i.e., (1, 1) which satisfy the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation.
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Most Upvoted Answer
The equation 2x + 5y = 7 has a unique solution, if x, y are:a)Natural ...
Explanation:
Natural Numbers:
Natural numbers are the counting numbers starting from 1, such as 1, 2, 3, 4, 5, and so on. In this case, if we substitute natural numbers for x and y in the equation 2x + 5y = 7, we will find that there are no natural numbers that satisfy the equation. Therefore, the equation does not have a unique solution if x and y are natural numbers.
Positive Real Numbers:
Real numbers include all rational and irrational numbers. Positive real numbers are the set of real numbers greater than zero. If we substitute positive real numbers for x and y in the equation 2x + 5y = 7, we will find that there are infinitely many solutions that satisfy the equation. Therefore, the equation does not have a unique solution if x and y are positive real numbers.
Real Numbers:
Real numbers include all rational and irrational numbers. If we substitute real numbers for x and y in the equation 2x + 5y = 7, we will find that there are infinitely many solutions that satisfy the equation. Therefore, the equation does not have a unique solution if x and y are real numbers.
Rational Numbers:
Rational numbers include all numbers that can be expressed as a fraction of two integers. If we substitute rational numbers for x and y in the equation 2x + 5y = 7, we will find that there are infinitely many solutions that satisfy the equation. Therefore, the equation does not have a unique solution if x and y are rational numbers.
Natural Numbers:
Natural numbers are the counting numbers starting from 1, such as 1, 2, 3, 4, 5, and so on. In this case, if we substitute natural numbers for x and y in the equation 2x + 5y = 7, we will find that there are no natural numbers that satisfy the equation. Therefore, the equation does not have a unique solution if x and y are natural numbers.
Therefore, the correct answer is option 'A' - Natural Numbers.
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The equation 2x + 5y = 7 has a unique solution, if x, y are:a)Natural Numbersb)Positive real numbersc)Real Numbersd)Rational NumbersCorrect answer is option 'A'. Can you explain this answer?
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