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-   -   solve by elimination -x -3y=-1 and 3x=3y=9 (https://www.askmehelpdesk.com/showthread.php?t=727438)

  • Jan 11, 2013, 07:55 AM
    ilkirby
    solve by elimination -x -3y=-1 and 3x=3y=9
    I need help with by elimination solving
    -x -3y=-1
    3x+3y=9

    solve by substitution
    y=11 -3x
    -2x + y=1
  • Jan 11, 2013, 10:02 AM
    JudyKayTee
    You need to do the problem yourself and then post your answer. What did you get for the answer?
  • Jan 11, 2013, 10:23 AM
    wallykap
    -x -3y = -1 mult by -1 x +3y = 1
    solve for x x = 1 - 3y

    3x + 3y = 9 sub x 3(1 - 3y) + 3y = 9
    expand 3 - 9y + 3y = 9
    combine 3 -6y = 9
    solve for y -6y = 9 - 3
    -6y = 6
    y = 6 / -6
    y = -1

    therefore if y = -1, then -x -3(-1) = -1
    -x + 3 = -1
    -x = -1 -3
    -x = -4
    x = 4

    checking -(4) - 3(-1) = -1
    -4 - (-3) = -1
    -4 + 3 = -1 and

    cking 3(4) + 3( -1) = 9
    12 +(-3) = 9
    12 -3 = 9

    walt !
  • Jan 11, 2013, 10:34 AM
    wallykap
    problem #2

    y = 11 -3x and -2x + y =1

    sub y into second -2x + (11 -3x ) = 1
    expand -2x + 11 - 3x = 1
    combine -5x + 11 = 1
    sub 11 -5x = 1 - 11 = (-10)
    div by -5 x = 2


    therefore y = 11 -3(2)
    y = 5

    and -2(2) + 5 = 1
    -4 + 5 = 1

    answers check !

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