Math 101 Intermediate Algebra
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Applications of Systems of Linear Equations
Chapter 4, Section 3

General Idea

"Applications of Systems of Linear Equations" translates to solving word problems by setting up and solving systems of linear equations.

The same principles learned in Sections 2.3 and 2.4: Word Problems apply to this section. So review Sections 2.3 and 2.4 to remember how to solve word problems.

Some useful formulas are also given in Sections 2.3 and 2.4.

How to Solve Word Problems Using Systems of Linear Equations

  1. Convert the word problem to 2 (or 3) equations in 2 (or 3) variables as in Sections 2.3 and 2.4: Word Problems.
  2. Solve the system of linear equations as done in Sections 4.1 and/or Sections 4.2.

Examples we might do in class

2.3.6
2.4.18
2.4.28
Review Exercise 36
Problem
Problem