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How to solve for the systems of equations?
Published by: admin 2008-10-24
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  • 1. 5^(x+2y) = 10 ; x-y=3
    2. 4^(x+y) = 60 ; 3^(x-y) =5

    [5 exponent (x+2y) 4 exponent x+y]

    how do i solve these? and please explain each step. thanks!
  • Addition Method::
    The whole problem with solving a system of equations is that you cannot solve an to substitute this value into one of the original equation to solve for
    http://www.jamesbrennan.org/algebra/systems/addition_method.htm
    HOME
    Algebra II: Coordinate Geometry - Math for Morons Like Us::
    The easiest way to solve systems of equations that include circles, ellipses, or 1. Problem: Solve the following system of equations: x2 + y2 = 25 3x - 4y = 0
    http://library.thinkquest.org/20991/alg2/geo.html
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  • Ques 1:

    5^(x + 2y) = 10
    Take log on both sides, we get

    (x + 2y) log 5 = log 10
    x + 2y = log 10 / log 5

    the second equation is x - y = 3
    Math Forum - Ask Dr. Math::
    How do you solve this system of equations by graphing: 3x + 2y = 5 and - 3x - 2y = 10? a value for x and then determine the value of y required to satisfy
    http://mathforum.org/library/drmath/view/54467.html
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    2x - 2y = 6

    Adding the first to this, we get
    3x = log 10 / log 5 + 6
    x = log 10 / (3 log 5) + 2

    y = x - 3
    = log 10 / (3 log 5) - 1

    Ques 2:

    4^(x + y) = 60
    Taking log
    (x+y) log 4 = log 60

    Also,

    x - y = log 5 / log 3

    2x = log 60 / log 4 - log 5 / log 3

    you can solve further from this






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