At the beginning of a new semester, Andy makes plans for a successful semester. He allocates 42 hours per week for study time for the four courses he is taking: math, English, chemistry, and history. He decides to allocate half of his time to math and English and twice as much time to math as to English. He decides to allocate twice as much time to English as to history.
(a) Find a system of equations that represents this information.
(b) Solve the system to determine the number of hours allocated to each subject.
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