Chapter 5 Review and Tests


Definitions, Concepts, and Formulas Examples

5.1 Systems of Equations in Two Variables

A system of equations is a set of equations with common variables.

A solution of a system of equations in two variables x and y is an ordered pair of numbers (x1,y1) that satisfies all equations in the system. The solution set of a system of two linear equations of the form ax+by=c is the point(s) of intersection of the graphs of the equations.

Systems with no solution are called inconsistent, and systems with at least one solution are consistent. A system of two linear equations in two variables may have one solution (independent equations), no solution (inconsistent system), or infinitely many solutions (dependent ...

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