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Determining Whether an Ordered Triple is a Solution:
To evaluate effectively whether the ordered triple stands as a valid solution applying to the system of equations \left\{\begin{array}{l} 3x + y + z = 2 \ x + 2y + z = -3 \ 3x + y + 2z = 4 \end{array} ight., perform a direct substitution of the isolated values , , and into the provided algebraic expressions. Focusing first on the initial equation, the substitution predictably yields . Because the evaluated quantity blatantly differs closely from the required mathematical target of , the primary statement registers completely false. A true solution must universally satisfy every distinct formula included; thus, verifying the failure on the first equation guarantees absolutely that is not a functional solution for the system.
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Ch.4 Systems of Linear Equations - Intermediate Algebra @ OpenStax
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Determining Whether an Ordered Triple is a Solution:
Determining Whether an Ordered Triple is a Solution:
Determining Whether an Ordered Triple is a Solution:
Determining Whether an Ordered Triple is a Solution: