Euclid's which axiom illustrates the statement that

Question:

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z?
(a) first
(b) second
(c) third
(d) fourth

Solution:

Euclid's second axiom states that if equals be added to equals, the wholes are equal.

x + y = 15

Adding z to both sides, we get

x + y + z = 15 + z

Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.

Hence, the correct answer is option (b).

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