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14 October, 02:30

14. What is the solution of the system? Use elimination.

9x + y = 30

6x - y = 15

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Answers (1)
  1. 14 October, 04:20
    0
    x=90/16, y=-150/16

    Step-by-step explanation:

    Simultaneous equation and we are to use elimination method

    9x+y=30 ... (1)

    6x-y=15 ... (2)

    Add (1) and (2)

    16x=15

    Divide both sides by 16

    x=15/16

    Then substitute the value of x into (2)

    6 (15/16) - y=15

    90/16-y=15

    Substrate 15 from both sides

    90/16-y-15=0

    Add y to both sides

    90/16-15=y

    Lcm for only the left side which is 16

    90-240/16=y

    -150/16=y

    Therefore x is 90/16 and y is - 150/16
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