How many solutions does the system x+y=5 and 2x+2y=10 have?

A 0

B 1

C 2

D Infinitely many

✓ Correct Answer: Option D

2x+2y=10 is the same as x+y=5 (divide by 2). The lines are identical, so infinitely many solutions.

💡 Why is D) the correct answer?

The correct answer to the question "How many solutions does the system x+y=5 and 2x+2y=10 have?" is Option D: Infinitely many.

The other options — A) 0, B) 1, C) 2 — are incorrect for this Mathematics question. As explained above: 2x+2y=10 is the same as x+y=5 (divide by 2). The lines are identical, so infinitely many solutions.

📚 About This Mathematics Practice Question

This 2-level Mathematics question from the Algebra topic is part of One Paper Preparation's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free Mathematics practice test or use flashcards for spaced repetition review.

Practice Mathematics Quizzes → Browse All Questions Study Flashcards

How many solutions does the system x+y=5 and 2x+2y=10 have?

✓ Correct Answer: Option D

📚 About This Mathematics Practice Question

Related Mathematics Questions