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  • The equation 2x + 5=7 has a unique solution, if x, y are : (A) Natural numbers

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

Answers (1)

Answer:

(A) Natural numbers

Solution:

Unique solution: for Unique solution, there should exist only one pair of x and y.

In natural numbers, there exists only one pair which is (1, 1)

2x + 5y = 7

(2) + (5) = 7

7 = 7

In positive real numbers there exists more than one pair.

For example: (0.5, 1.2), (1.5, 0.8)…

In real numbers there exists more than one pair.

For example: (–0.5, 1.6), (–1.5, 2)…

Also in rational numbers, there exists more than one pair.

For example:

\left (\frac{3}{2},\frac{4}{5} \right ),\left ( \frac{1}{2},\frac{6}{5} \right ) …

Hence in natural numbers there exists only one pair therefore the solution is natural numbers.

Posted by

infoexpert21

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