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algebra

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the cost of three markers and two pencils is 1.80
the cost of four markers and six pencils is 2.90
what is the cost of each item?

  • algebra -

    3x+4y=1.80
    4x+6y=2.90
    Do you know how to use elimination?

  • algebra -

    uhm no. explain the steps please?

  • algebra -

    Ok, so if you make markers "x" and pencils "y", you get
    3x+4y=1.80
    4x+6y=2.90
    Then you use elimination (by figuring out what to multiply one or both equations by to get rid of one of the variables, either x or y).
    Multiplying the top equation by -4
    and the bottom equation by 3 to eliminate the x's gives us
    -12x-16y=-7.2
    12x+18y=8.7
    Add the equations together
    2y=1.5
    Divide both sides by 2
    y=?
    Plug that back into any of your equations to solve for x.
    Once you get your answers, feel free to post them if you want them checked.

  • algebra -

    thanks so much. do you have time for one more problem ?

  • algebra -

    Sure, are you still on?

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