Hmusman Hmusman

2022-07-24

RizerMix

The given statement is as follows:
Solving a system in three variables, I found that $x=3$ and $y=-1$. Because $z$ represents a third variable, $z$ cannot equal $3$ or $-1$.
To determine whether the statement makes sense or not, let's analyze it.
The statement implies that a system of equations involving three variables, namely $x$, $y$, and $z$, has been solved. The solution obtained is $x=3$ and $y=-1$.
The reasoning provided in the statement is that since $z$ represents a third variable, it cannot have the same value as $x$ or $y$. In this case, $x=3$ and $y=-1$, so $z$ cannot equal $3$ or $-1$.
This statement makes sense. When solving a system of equations, each variable is typically assigned a specific value that satisfies all the given equations simultaneously. In this case, $x=3$ and $y=-1$ are the assigned values. The statement correctly points out that $z$ represents a distinct variable and, therefore, cannot have the same values as $x$ or $y$ to maintain its independent nature.
Hence, the statement makes sense in the context of solving a system in three variables.

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