The difference between Eke out and Supplement

When used as verbs, eke out means to supplement, whereas supplement means to provide or make a supplement to something.

Supplement is also noun with the meaning: something added, especially to make up for a deficiency.

check bellow for the other definitions of Eke out and Supplement

Eke out as a verb (transitive):

To supplement.

Examples:

"The old man eked out his pension by selling vegetables from his garden."
Eke out as a verb (transitive):

To obtain with difficulty or effort.

Examples:

"He eked out a living selling vegetables from the garden."

Supplement as a noun:

Something added, especially to make up for a deficiency.
Supplement as a noun:

An extension to a document or publication that adds information, corrects errors or brings up to date.
Supplement as a noun:

An additional section of a newspaper devoted to a specific subject.
Supplement as a noun (geometry):

An angle that, when added to a given angle, makes 180; a supplementary angle.
Supplement as a noun (nutrition, bodybuilding):

A vitamin, herbal extract or chemical compound ingested to meet dietary deficiencies or enhance muscular development.