To state: A system of equation to represent the situation if a manufacturer sells pencils and erasers in packages. The price of a package of 5 erasers and two pencils is $.23 and that of a package of 7 erasers and 5 pencils is $.41. Also write a matrix to represent the system.
The system of equation is
The matrix for the system of equation is
Given information:
The given statement says that the selling price of a package of 5 erasers and two pencils is $.23 and that of a package of 7 erasers and 5 pencils is $.41.
Explanation:
Let’s assume the variable x represents an eraser and variable y represents a pencil.
Now consider the given statement and form equations:
The selling price of a package of 5 erasers and 2 pencils is $.23:
The selling price of a package of 7 erasers and 5 pencils is $.41:
Therefore, the system of equation to represent the given situation is:
Write the matrix using the coefficients and constants,
Therefore, the resultant matrix is
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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