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anonymous

  • 5 years ago

I need help solving: One number is 4 more than another. IF 6 times the smaller minus 4 times the larger is 4, what are the two numbers.

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  1. anonymous
    • 5 years ago
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    We have simultaneous equations: \[ x = y + 4 \] and \[ 6y - 4x = 4 \]

  2. anonymous
    • 5 years ago
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    Thanks gentoolx. Ok I get that, are they solved separately, or is one solved before the other?

  3. anonymous
    • 5 years ago
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    So, you can just substitute the value from first equation (x value) to the second equation or you can transform the first to \[ x-y=4 \] and then: \[4x-4y=16\] Then you sum up these two equations to get \[2y = 20 \] Then you compute value of y and then you substitute it to one of the original equations to compute x.

  4. anonymous
    • 5 years ago
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    To be clear: when I meant "these two equations" I meant transformed equation and the second equation from original ones.

  5. anonymous
    • 5 years ago
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    Thanks again, I am sorry how do you get the 4 on the other side of the equal sign

  6. anonymous
    • 5 years ago
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    you multiplied 4 by both sides

  7. anonymous
    • 5 years ago
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    I multiplied both sides by four.

  8. anonymous
    • 5 years ago
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    \[x = y + 4\] \[x - y = 4 | * 4\]\[4x - 4y = 16\]

  9. anonymous
    • 5 years ago
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    More info about solving simultaneous equations here: http://en.wikipedia.org/wiki/Simultaneous_equations

  10. anonymous
    • 5 years ago
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    Thanks so much for your help, I will try that website, its been a long time since I took algebra

  11. anonymous
    • 5 years ago
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    You're welcome.

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