Definition:Indeterminate System of Simultaneous Equations

Definition

Let $\SS$ be a system of simultaneous equations.

Let $\SS$ have an infinite solution set.

Then $\SS$ is known as an indeterminate system.

Examples

Arbitrary Example

The system of simultaneous equations:

\(\ds x + y\)

\(=\)

\(\ds 5\)

\(\ds x + z\)

\(=\)

\(\ds 6\)

is indeterminate.

Also see

• Results about indeterminate systems of simultaneous equations can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): indeterminate equation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): indeterminate equation