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Math Help - Solution to a Tricky System

  1. #1
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    Solution to a Tricky System

    Q. Find values of a and b such that (2, -1) is a solution of the system.

    {ax - by = 12
    {bx + ay = -1

    Please explain how you got to the answer as I don't even have the slightest clue how to do this one. Thank you!
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by Sasurai View Post
    Q. Find values of a and b such that (2, -1) is a solution of the system.

    {ax - by = 12
    {bx + ay = -1

    Please explain how you got to the answer as I don't even have the slightest clue how to do this one. Thank you!
    If (2,-1) is a solution to the system, then x=2 and y=-1. Subsitute these values in your question, you have:

    2a+b=12

    2b-a = -1

    Can you find a and b now?
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  3. #3
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    Ah! Got it now. Thank you very much sir. Can't believe it was that simple, haha. May I ask one more question?
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  4. #4
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by Sasurai View Post
    Ah! Got it now. Thank you very much sir. Can't believe it was that simple, haha. May I ask one more question?
    If its related to the same question, post it here.

    If its a different Math question, start a new thread! If not me, then someone else might help you!
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