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College Algebra / Unit 9   Alg 496 short lesson, about 20 seconds

Systems in Three Variables

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The idea

A system in three variables seeks an ordered triple satisfying all three equations; the strategy eliminates down to two, then finishes with old methods.

In practice

For x + y + z = 6, x − y + z = 2, x + y − z = 0, the one solution is the triple (1, 2, 3).

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