Consistent Simultaneous Equations/Examples
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Examples of Consistent Simultaneous Equations
Arbitrary Example $1$
Consider the simultaneous equations:
| \(\ds x + y\) | \(=\) | \(\ds 10\) | ||||||||||||
| \(\ds x + 2 y\) | \(=\) | \(\ds 15\) |
These are satisfied with the values:
| \(\ds x\) | \(=\) | \(\ds 5\) | ||||||||||||
| \(\ds y\) | \(=\) | \(\ds 5\) |
and so are consistent.
Arbitrary Example $2$
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.