I’m currently working out of a book titled “Discrete Mathematics”. My root’n toot’n tutor Christopher is so graceful in teaching me new concepts, rules, and mind bending math lessons. However, I’m up late studying Sets and Statements and having no access to him, I’m stuck. Here is the question.

Explain how a system of simultaneous equations is a compound statement. How are the truth set of the statement and the solution set of the system of equations related? In terms of their solutions, what does it mean to say the two different systems of equations about the same numerical variables x, y and z are equivalent as statements?

Patiently Waiting,
Marshall Byers