Ask Question
11 July, 19:54

The table below shows four systems of equations:

System 1 System 2 System 3 System 4

4x - 5y = 2

3x - y = 8 4x - 5y = 2

10x - 7y = 18 4x - 5y = 2

3x - 8y = 4 4x - 5y = 2

10x + 3y = 15

Which pair of systems will have the same solution?

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to three times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2

+4
Answers (1)
  1. 11 July, 22:08
    0
    System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

    This is the correct answer because not only is it true but it also follows the property of solving systems of equations with adding the equations. To prove that it is true:

    2nd equation in system #2 = 1st equation in system #1 + 2 (2nd equation in system #1)

    10x - 7y = 18 = = 4x - 5y = 2 + 2 (3x - y = 8)

    10x - 7y = 18 = = 4x - 5y = 2 + 6x - 2y = 16

    10x = 7y = 18 = = 10x - 7y = 18
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The table below shows four systems of equations: System 1 System 2 System 3 System 4 4x - 5y = 2 3x - y = 8 4x - 5y = 2 10x - 7y = 18 4x - ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers