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Math Help - simultaneous equation

  1. #1
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    simultaneous equation

    hi, can anyone figure out the solution to

    4x + 3y = 17 and y = 3/4x - 19/4

    and if possible can you show me exactly how you figure it out step by step?

    thanks for any help
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  2. #2
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    ah, in case anyone was in the process of writing a reply to this, i just realised that the answer must be x = 5 and y = -1.

    sorry for any inconvenience
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  3. #3
    MHF Contributor red_dog's Avatar
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    \left\{\begin{array}{ll}4x+3y=17\\y=\frac{3}{4}x-\frac{19}{4}\end{array}\right.

    Replace y in the first equation:

    4x+3\left(\frac{3}{4}x-\frac{19}{4}\right)=17

    25x=125\Rightarrow x=5

    Now find y.
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