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system of linear equations and inequalities

Solve each system by the substitution method.
Section 7.1
#54
X + 3y = 2
-x + y = 1

Section 7.2
#64 Book and magazines. At Gwen's garage sale, all books were one price, and all magazines another price. Harriet bought 4 books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?

Section 8.2
Write each union or intersection of intervals as a single interval if possible
#62

Section 8.3
#68: Allocating resources. A furniture maker has a shop that can only employ 12 workers for 40 hours per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week.

Solution Preview

Please see the attached file for detailed solutions and graphs.

54. X + 3y = ...

Solution Summary

The solution elaborates how to solve the system of linear equations using substitution method. It also demonstrates how to graph the inequalities with two variables step by step.

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