Solving Systems With Elimination

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Smjohnson
S
Smjohnson
Community Contributor
Quizzes Created: 8 | Total Attempts: 16,812
Questions: 5 | Attempts: 740

SettingsSettingsSettings
Solving Systems With Elimination - Quiz

Solving Systerms with Elimination
Algebra 1 VOISE Ms. Johnson


Questions and Answers
  • 1. 

    Solve the system.x + 2y = 2-x + 3y = 13

    Explanation
    The given answer (-4,3), (-4,3) is the solution to the system of equations x + 2y = 2 and -x + 3y = 13. When substituting x = -4 and y = 3 into both equations, we get the following: -4 + 2(3) = 2 which simplifies to -4 + 6 = 2, and -(-4) + 3(3) = 13 which simplifies to 4 + 9 = 13. Therefore, both equations are satisfied by the values x = -4 and y = 3, confirming that (-4,3), (-4,3) is the correct answer.

    Rate this question:

  • 2. 

    Solve the system.3x - 4y = -16x - 4y = -40

    Explanation
    The given system of equations is 3x - 4y = -16 and x - 4y = -40. To solve this system, we can use the method of substitution. From the second equation, we can solve for x in terms of y: x = -40 + 4y. Substituting this value of x into the first equation, we get 3(-40 + 4y) - 4y = -16. Simplifying this equation, we get -120 + 12y - 4y = -16. Combining like terms, we get 8y = 104. Dividing both sides by 8, we get y = 13. Substituting this value of y into the second equation, we get x - 4(13) = -40. Simplifying this equation, we get x - 52 = -40. Adding 52 to both sides, we get x = 12. Therefore, the solution to the system is (12,13).

    Rate this question:

  • 3. 

    Solve the system.-3x + 10y = -413x - 5y = 16

    Explanation
    The given answer (-3,-5),(-3, -5) is incorrect. The correct answer should be (-3, -5) because it satisfies both equations in the system. Substituting -3 for x and -5 for y in the first equation, we get -3(-3) + 10(-5) = 9 - 50 = -41, which is equal to the right-hand side of the equation. Similarly, substituting -3 for x and -5 for y in the second equation, we get 3(-3) - 5(-5) = -9 + 25 = 16, which is equal to the right-hand side of the equation. Therefore, (-3, -5) is the correct solution to the system.

    Rate this question:

  • 4. 

    Solve the system.5x + 2y = 67x + 2y = 14

    Explanation
    The given system of equations is 5x + 2y = 6 and 7x + 2y = 14. By solving the system, we can find the values of x and y that satisfy both equations. However, the given answer (4,-7),(4, -7) is incorrect. The correct answer should be (4,-7) as it is the only solution that satisfies both equations.

    Rate this question:

  • 5. 

    Solve the system.9x - 3y = 39-9x + 7y = -79

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 20, 2010
    Quiz Created by
    Smjohnson
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.