![\"\"](\"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=2fb4d05122180baac961c8ccca723b00.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=42cb2e85631daad99d933bd43745aa33.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_4y-2x=4_and_y-1by2x=1_graph.gif\")
The graphs of lines are 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 each 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.