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19 February, 23:32

The table below shows four systems of equations:

Which pair of systems will have the same solution? System 1 System 2 System 3 System 4

4x - 5y = 2 4x-5y=2 4x - 5y = 2 4x-5y=2

3x - y = 8 3x - 8y = 4 13x - 8y = 26 10x + 3y = 15System 1 and system 3, because the second equation in system 3 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 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.

System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1.

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Answers (1)
  1. 20 February, 02:54
    0
    4x - 5y = 2

    3x - y = 8

    x = 38/11

    y=26/11

    4x-5y=2

    3x - 8y = 4

    x = - 4/17

    y=-10/17

    4x - 5y = 2

    13x - 8y = 26

    x = 38/11

    y=26/11

    4x-5y=2

    10x + 3y = 15

    x = 81/62

    y=20/31

    Therefore, the correct answer is the last option.

    System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1.
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