Chapter 3 - Systems of Equations and Problem Solving


The process of problem solving - commonly known as solving word problems - tends to give students of Algebra the most trouble. Part of the issue is the lack of intuitive understanding; a bigger issue is the lack of good explanations from both text books and teachers. There tends to be less explicit explanations available for for how to set up word problems to equation form than for any other section of Algebra. Once the issue of setting up problems is resolved, solving them becomes much easier.

This chapter deals with the mechanism of setting up problems in order to solve them. This is necessary for all physical, life, and social sciences as well as all forms of accounting and economics. Basically, anything which is fundamentally numerical in nature tequires this skill.

I will try my best to explain how to set up a word prolem to the best of my ability, so sit back, relax, and get ready to understand.
  • Section 1: Systems of Equations in Two Equations
  • Section 2: Solving by Substitution or Elimination
  • Section 3: Solving Applications: Systems of Two Equations
  • Section 4: Systems of Equations in Three Variables
  • Section 5: Solving Applications: Systems of Three Equations
  • Section 6: Elimination Using Matrices
  • Section 7: Determinates and Cramers Rule

That's the end of this section.  If you have any questions, please leave them is the comments.  Like and share this post if you found it helpful.  And until next time, stay curious.

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