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Quick way to solve this system of two equations?

  1. Oct 20, 2008 #1
    Hey everyone, today in physics class, my teacher reduced a physics problem to solving a system of two equations in this form:

    ax+by=c
    ax2+by2=c

    Where a, b, and c are constants. Then my teacher solved for x and y by solving for x in the first equation, plugging that into the second equation, resulting a very intimidating quadratic in y, and solving for y using the quadratic formula.

    I was wondering if there was an easier way to solve for x and y in this situation. I have a feeling there would be some kind of a shortcut because of the similarities in the two equations.
     
  2. jcsd
  3. Oct 21, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    No, I think solving for either x or y in the first equation and then putting the result into the second is the simplest way to solve those equations.
     
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