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Math Help - Solving Equations

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    8

    Solving Equations

    Would appreciate if anyone could show me how to do the following :-

    Euan plays in a snooker tournament which consists of 20 games

    He loses x games and wins y games

    a) Write down an equation in x and y to illustrate this information.
    b) He is paid 5 for each game he wins and 2 for each game he loses.
    He is paid a total of 79
    Write down another equation in x and y to illustarte this information.
    c) How many games did Euan win.

    I am happy with a) x+y=20 and b) 5x+2y=70 but
    would like to know how to work out step by step c) above
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
    From
    France
    Posts
    1,458
    Hi
    You get a system of 2 equations whose unknown are x and y
    x+y=20 (1)
    5x+2y=79 (2)

    From equation (1) you can get y=20-x
    Then you can replace y par 20-x in equation (2)
    You get a simple equation in x that you can solve easily
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