Page 31 - 091math-wb-w6-(equations&inequalities-1)
P. 31
Workbook
Dependent and Independent Systems of Linear Equations
When two lines are drawn in rectangular coordinate system, three geometric relationships are
possible:
1. Two lines may intersect at exactly one point.
2. Two lines may intersect at no point. This occurs if the lines are parallel.
3. Two lines may intersect at infinitely many points among the line. This occurs if the equations represent
the same line (the lines are coinciding).
If two equations represent the same line, then all points along the line are solutions to the system of
equations. In such a case, the system characterized as a dependent system. An independent system is
one in which the two equations represent different lines.
Solving Systems of Linear Equations by Graphing
EXAMPLE 2: Solve the system by graphing both linear equations and finding the point(s).
31 091math-wb-w6-(equations&inequalities-1)
