The things which are double of the same thing are equal to one another. Is the given statement true or false? Justify your answer

Solution:

From the Euclidean axiom

The things which are double of the same thing are equal to one another

For example -

If 2x = 2y then x = y

Therefore, the statement is true.

✦ Try This: Solve the equation b - 3 = 9 and state which axiom do you use here.

Given, the equation is b - 3 = 9

We have to solve the equation and state which axiom is used here.

Using Euclid’s second axiom,

If equals are added to the equals, the wholes are equal.

On adding 3 on both the sides of the equation,

b - 3 + 3 = 9 + 3

b = 9 + 3

b = 12

Therefore, the solution of the equation is b = 18.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.2 Problem 4

The things which are double of the same thing are equal to one another. Is the given statement true or false? Justify your answer

Summary:

The statement “The things which are double of the same thing are equal to one another” is true

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