Thursday, March 5, 2009

Question 1: Elimination or Substitution Method?

Which method will you use for each pair of simultaneous linear equations? Explain your choices.

Pair A:
4x-3y=15
x+5y=-2

Pair B:
8x+2y=-2
16x-5y=23

11 comments:

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  6. For pair A, I would use the subsitution method as x in the second equation has a coefficient of 1. It would be more troublesome to multiply the second equation by 4 to use the elimination method.

    For pair B, I would use the elimination method as I only need to multiply the first equation by two to have the same coefficient of x for both equations.

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  7. For pair A: Substitution. 'Cause the second equation, like sangheetha said, has a coefficient of 1.

    For pair B: Elimination. Neither of the equations has no coefficient that is 1. So, using elimination method would be easier.

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  8. I would actually choose to solve these two pairs of stimultaneous equations using elimination method. I prefer to choose the method that I am more comfortable and familiar with.

    But if I have to use one method for each pair of stimultaneous equations, i would use substitution method for Pair A and elimination method for Pair B.

    Like what both Laura and Sangheetha had said, the second equation in Pair A has a coefficient of 1. While for pair B, since both equations have no coefficient of 1, of course using elimination method is easier. =P

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  9. For Pair A, I would use the substitution method because there is an X variable of coefficient 1. Substitution needs the variable to have a coefficient of 1. However, if we use the elimination method for this question, we have to do an extra step of multiplying 4 for simultaneous equation number 2.
    For Pair B, I would use the elimination method instead because what I have to do is simply having to multiply the first equation by 2 to get the same 16X.

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  10. For pair A, I would use the substitution method because there is a coefficient of 1 of x, it would be easier to solve using the substitution method, while in pair B, i would use the elimination method because there is more than one coefficient of x and y and both equations, hence using the elimination method to solve would be easier.

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  11. For A i would use the substitution method because there is an X with a coefficient of 1. It would be more convenient to solve it that way than using the elimination method.

    For B, i would use the elimination method because there is no X with a coefficient of 1. It would be more convenient to solve it that way than using substitution method.

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