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Posted by on Thursday, October 18, 2012 at 3:53pm.

4p + 2q = 8 and q = 2p +1 solve by substitution

  • algebra 2 - , Thursday, October 18, 2012 at 4:06pm

    you have q = 2p+1
    so, substitute into the other equation:

    4p + 2(2p+1) = 8
    4p + 4p + 2 = 8
    8p = 6
    p = 3/4
    now you can get q.

    be sure to check your answers in both equations, lest

    a) you made a mistake
    b) I made a mistake

  • algebra 2 - , Thursday, October 18, 2012 at 4:10pm

    4p + 2q = 8
    q = 2p +1

    Rearrange either so it aligns, I'll rearrange the bottom.

    4p +2q = 8
    -2p - q = 8 (subtract 2p from both sides)
    Pick one that simplifies easily I'll use the 4p one.

    4p + 2q = 8
    2q = 8 - 4p
    q = 4 -2p

    Substitute q value for q in opposite equation

    -2p + (4 - 2p) = 1
    -2p + 4 - 2p = 1
    -4p = -3
    p = 3/4
    plug p in to find q

  • algebra 2 - , Saturday, March 9, 2013 at 11:38am

    Simplify: q – (7q + 1)

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