System of linear equations and inequalities


Questions:

System of linear equations and inequalities

Solve each system by the substitution method.

1. X + 3y = 2
-x + y = 1

2. 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?

3. Write each union or intersection of intervals as a single interval if possible

4. 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.

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Algebra: System of linear equations and inequalities
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