![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Write the each equation in slope-intercept form y = mx + b.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ff12b059ab9b40e63e73b5bed91f8f6d.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b26f1bfcb7ddb3d7a03e48989d1b15f8.png\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Graph the equations and find the intersection point.
\![\"system](\"/userfiles/image/Library/Algebra%202/system_equations_4x-2y=6_and_6x-3y=9_graph.gif\")
The graphs are do not intersect.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
Since the equations are equivalent,their graphs are the same line.Any ordered pair representing a point on that line will satisfy both equations.So there are infinitely many solutions.This system is consistent and dependent.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The system is consistent and dependent.