If (2x - 1, y + 3) = (5, 10), what are the values of x and y?
Answer and explanation
Correct answer: (3, 7)
Two ordered pairs are equal if and only if their corresponding components are equal. Therefore, compare the first components and the second components separately: 2x - 1 = 5 and y + 3 = 10. The first equation gives 2x = 6, so x = 3. The second gives y = 7. Hence (x, y) = (3, 7), making option B correct. The order of components must be preserved while comparing ordered pairs.
Frequently asked questions
What is the correct answer to this question?
(3, 7)
Why is this the correct answer?
Two ordered pairs are equal if and only if their corresponding components are equal. Therefore, compare the first components and the second components separately: 2x - 1 = 5 and y + 3 = 10. The first equation gives 2x = 6, so x = 3. The second gives y = 7. Hence (x, y) = (3, 7), making option B correct. The order of components must be preserved while comparing ordered pairs.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
