Suppose that the elimination method results in the equation 0=0

September 3, 2017 Mike Zonta 1 Comment

What does this indicate about the number of solutions to the system of equations.

(a) The system has infinitely many solutions.

(b) The system has three solutions.

(d) The system has no solutions.

(Which one is it?)

1 ANSWER:

John R.

Mooresville, IN

If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.

4/4/2013 | John R.

(www.wyzant.com)

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One thought on “Suppose that the elimination method results in the equation 0=0”

Michael Kelly says:

September 5, 2017 at 7:18 am

Hi John,
what is the elimination method for?
— If this were simple algebra, then arriving at 0 = 0 would mean that the variables had been eliminated, which is no help if finding what x, or y, or z equals in a given equation.
— If this were arithmetic, then e.g., 3 – 3 = 4 – 4. This is true, but not very interesting.
Michael

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–e.e. cummings

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Suppose that the elimination method results in the equation 0=0

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John R.

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Consciousness, sexuality, androgyny, futurism, space, the arts, science, astrology, democracy, humor, books, movies and more