Dependent Equations/Examples/Arbitrary Example 1
Jump to navigation
Jump to search
Examples of Dependent Equations
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 $(2)$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): dependent equations
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dependent equations