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In order to determine if a situation can be represented by a system of equations, we need to consider how the variables are defined. Simply put, a system of equations consists of at least two equations that contain the same variables and the same variable definitions. Developing a system of equations is very similar to writing equations based on situations, but we need to take an additional step to confirm that the equations can be considered simultaneously (or all at the same time).
EXAMPLE
A chemist is mixing two solutions of different concentrations in the lab in order to prepare for an experiment. She needs 100 mL of a 40% solution so she mixes a 50% solution with a 30% solution.Oftentimes as consumers, we scope out a few different stores to find the best deals on items we purchase.
EXAMPLE
Suppose you are shopping around for top soil and wood chips for your backyard gardening project. You compared prices at two different home improvement stores for bags of top soil and wood chips to put in your backyard garden.Source: ADAPTED FROM "BEGINNING AND INTERMEDIATE ALGEBRA" BY TYLER WALLACE, AN OPEN SOURCE TEXTBOOK AVAILABLE AT www.wallace.ccfaculty.org/book/book.html. License: Creative Commons Attribution 3.0 Unported License