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Determine If the Given Ordered Triple Is a Solution of the System

question 67

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Determine if the given ordered triple is a solution of the system.
- (2,5,3) x+y+z=4xy+3z=22x+y+z=1\begin{array} { c } ( 2,5 , - 3 ) \\x + y + z = 4 \\x - y + 3 z = - 2 \\2 x + y + z = 1\end{array}


Definitions:

Speculation

Inference or consideration of a subject without firm evidence.

Scientific Attitude

The practice of being curious, skeptical, and open-minded while seeking empirical evidence and explanations about the natural world.

Curiosity

A strong desire to know or learn something, driving exploration and investigation.

Independent Variable

In experimental research, the variable that is manipulated by the researcher to examine its effect on the dependent variable.

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