Solve the system: x + y = 9 and x - y = 1.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Study for the 7th Grade Math Test. Prepare with quizzes, flashcards, and detailed explanations for each question. Stay ready for your exam!

Multiple Choice

Solve the system: x + y = 9 and x - y = 1.

Explanation:
Solving a system of equations by elimination means combining the equations to cancel one variable and solve for the other. Here, adding the two equations cancels out y: (x+y) + (x−y) = 9 + 1 gives 2x = 10, so x = 5. Then substitute x = 5 into x + y = 9 to get 5 + y = 9, which gives y = 4. The pair x = 5 and y = 4 satisfies both equations, so it’s the solution. The other listed pairs don’t work because they don’t make both equations true (for example, their x−y values don’t equal 1 while their sums still equal 9).

Solving a system of equations by elimination means combining the equations to cancel one variable and solve for the other. Here, adding the two equations cancels out y: (x+y) + (x−y) = 9 + 1 gives 2x = 10, so x = 5. Then substitute x = 5 into x + y = 9 to get 5 + y = 9, which gives y = 4. The pair x = 5 and y = 4 satisfies both equations, so it’s the solution. The other listed pairs don’t work because they don’t make both equations true (for example, their x−y values don’t equal 1 while their sums still equal 9).

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy