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Math Help - Multivariable Linear Systems

  1. #1
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    Multivariable Linear Systems

    [COLOR=rgb(0, 0, 0)]Problem:[/COLOR] A Corporation borrowed $775,000 to expand. some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest owed was $67,500 and the amount borrowed at 8% was four times the amount borrowed at 10%?


    Is my set up correct?

    x + y + z = 775,000
    .08x + .09y + .10z = 67,500
    z= 4x
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  2. #2
    Super Member TheChaz's Avatar
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    Quote Originally Posted by NeoSonata View Post
    [COLOR=rgb(0, 0, 0)]Problem:[/COLOR] A Corporation borrowed $775,000 to expand. some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest owed was $67,500 and the amount borrowed at 8% was four times the amount borrowed at 10%?


    Is my set up correct?

    x + y + z = 775,000
    .08x + .09y + .10z = 67,500
    z= 4x
    Since you picked x to be "the amount borrowed at 8%" (and z to be "the amount borrowed at 10%), the last equation should read x = 4z.
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