Consistent Simultaneous Equations/Examples/Arbitrary Example 2
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Example of Inconsistent Simultaneous Equations
Consider the simultaneous equations:
| \(\ds x + y\) | \(=\) | \(\ds 10\) | ||||||||||||
| \(\ds x + y\) | \(=\) | \(\ds 15\) |
These cannot be satisfied by any pair of values for $x$ and $y$.
Hence they are inconsistent.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): consistent: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): consistent: 1.