Dependent Equations/Examples
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Examples of Dependent Equations
Arbitrary Example
Consider the set of simultaneous equations:
\(\text {(1)}: \quad\) | \(\ds x + y\) | \(=\) | \(\ds 3\) | |||||||||||
\(\text {(2)}: \quad\) | \(\ds x \paren {x + y}\) | \(=\) | \(\ds 3 x\) |
Equations $(1)$ and $(2)$ are dependent because every $\tuple {x, y}$ which satisfies $(1)$ also satisfies $(2)$.