Question

If 2024x + 2025y = 1, 2025x + 2024y = –1, then x – y = ______.

Options

• 0

• –2

• 2

• –1

Answer 1

If 2024x + 2025y = 1, 2025x + 2024y = –1, then x − y = –2.

Explanation:

2024x + 2025y = 1  ....(1)

2025x + 2024y = –1  ....(2)

Subtract equation (2) from equation (1):

(2024x + 2025y) – (2025x + 2024y) = –1 – 1 

(2024x – 2025x) + (2025y – 2024y) = 1 + 1

–x + y = 2

Multiply both sides by –1 to solve for x – y:

x – y = –2