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jesusfreak

  • 2 years ago

solve the system of equations by using the elimination method. {4x^2+3y^2=12 {5x^2+6y^2=30

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  1. ktklown
    • 2 years ago
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    HI there. Would you like to learn the method or just get the answer?

  2. imranmeah91
    • 2 years ago
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    That just discourage people from learning.

  3. ktklown
    • 2 years ago
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    what does?

  4. jesusfreak
    • 2 years ago
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    Yes it does.

  5. ktklown
    • 2 years ago
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    I only teach methods, I don't give out answers. But some people get mad when I try to teach. That's why I ask first.

  6. jesusfreak
    • 2 years ago
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    Well try to teach me the method because I don't even know what the method is.

  7. ktklown
    • 2 years ago
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    The elimination method means we're trying to combine the equations in a way that makes one of the variables go away.

  8. ktklown
    • 2 years ago
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    If you add the two equations together (e.g. add the left sides together, and add the right sides together), then you'll get a different equation as a result, which is still true. So the idea is to find a way to eliminate one of the variables by hoping that when we add the two equations together, one of the variables will cancel.

  9. ktklown
    • 2 years ago
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    In this case, the easiest strategy is to multiply the first equation by -2. That way, the 3y^2 will turn into -6y^2, which will then cancel with the +6y^2 in the second equation when we add the two together. Does that make sense?

  10. jesusfreak
    • 2 years ago
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    Yes it does.

  11. ktklown
    • 2 years ago
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    Great. so, first multiply the first equation through by -2; what do you get?

  12. jesusfreak
    • 2 years ago
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    -8x^2-6y^2=-24

  13. ktklown
    • 2 years ago
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    exactly right!! Now add that equation to the second equation (5x^2+6y^2=30). Remember, "adding" means, all the left-hand side terms get added to form the final left-hand-side term, and all the right-hand-side terms form a single right-hand side term. In other words, a + b = c added to d + e = f gives you a + b + d + e = c + f When you add the two equations in your problem together, you should find the Y terms cancel out.

  14. jesusfreak
    • 2 years ago
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    -3x^2=6

  15. jesusfreak
    • 2 years ago
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    Which would then be -3x^2/3=6/3 which is x^2=2, right?

  16. ktklown
    • 2 years ago
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    very close, I think you dropped a negative sign in that last step.

  17. ktklown
    • 2 years ago
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    (Make sure you copied the original problem correctly -- the problem you gave causes us to take the square root of a negative number)

  18. ktklown
    • 2 years ago
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    -3x^2=6 is correct though!

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