When solving systems of equations we have at least two unknowns. A common example of a system of equations is a price problem.  For example, Jacob has 60 coins consisting of quarters and dimes.  The coins combined value is $9.45.  Find out how many of each (quarters and dimes) Jacob has. What do the unknowns in this system represent and what are the two equations that that need to be solved? Finally, solve the system of equations.

Question

When solving systems of equations we have at least two unknowns. A common example of a system of equations is a price problem.  For example, Jacob has 60 coins consisting of quarters and dimes.  The coins combined value is $9.45.  Find out how many of each (quarters and dimes) Jacob has.

  1. What do the unknowns in this system represent and what are the two equations that that need to be solved?
  2. Finally, solve the system of equations.

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