Problema Solution
At a local bookstore, John purchased a history textbook and a magazine that cost a total of $32, not including tax. If the price of the history textbook, h, is $4 more than 3 times the price of the magazine, m, which system of linear equations could be used to determine the price of the history textbook and the magazine?
Answer provided by our tutors
total cost c=$32
h=3m+4
h+m=c=32
substiture h from the first equation into the second equation:
(3m+4)+m=32
4m +4 = 32
4m=28
m=$7 for magazine
substitute m into the first equation
h=3(7)+4 = $25 for book
this checks because the total is 7 + 25 = $32