If x + y = 0, then -y is known as the negative of x, where x and y are rational numbers. Is the given statement true or false

Solution:

Given x, y are rational numbers and x + y = 0

Adding -y on both sides

x + y - y = -y

x = -y

y = -x

y is known as the negative of x

Hence, the given statement is false.

✦ Try This: .If a + b = 0, then a is known as the negative of b, where a and b are rational numbers.

Given a, b are rational numbers and a + b = 0

Adding -b on both sides

a + b - b = -b

a = -b

a is known as the negative of b

Hence, the given statement is true.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 62

If x + y = 0, then -y is known as the negative of x, where x and y are rational numbers. Is the given statement true or false

Summary:

If x + y = 0, then -y is known as the negative of x, where x and y are rational numbers. This statement is false

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