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Solve the System of Linear Equations 4xy+3z=12x+4y+6z=325x+3y+9z=20\begin{aligned}4 x - y + 3 z & = 12 \\x + 4 y + 6 z & = - 32 \\5 x + 3 y + 9 z & = 20\end{aligned}

question 116

Multiple Choice

Solve the system of linear equations. If the system has infinitely many solutions, describe the solution with an ordered triple in terms of variable z.
- 4xy+3z=12x+4y+6z=325x+3y+9z=20\begin{aligned}4 x - y + 3 z & = 12 \\x + 4 y + 6 z & = - 32 \\5 x + 3 y + 9 z & = 20\end{aligned}


Definitions:

Parsimonious

Describes an approach that is simple or economical in terms of explaining something, often used in the context of scientific theories.

Falsifiable

Refers to a proposition or hypothesis that can be disproven through empirical evidence or experimentation.

Replicable Data

Information obtained from experiments or research that can be duplicated or reproduced by others to verify results.

Unambiguous Predictions

Clear, precise, and easily interpretable forecasts that leave little to no room for multiple interpretations or ambiguity.

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