1. For each of the following systems of equations, (i) determine the number of equations and the number of unknown variables in the system and (ii) classify the system as consistent or inconsistent. If the system is consistent, (iii) solve the system. Show work.

Hint: items (ii) and (iii) are closely related; Wolfram AlphaTM may be useful.

(a) |x+7|=9,|x+1|=3,|x4|=2. (b) p2q=5,p+2q=1,pq=3.

(b) p2q=5,p+2q=1,pq=3