![\"\"](\"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=04ba3ce96e8be2ec153025b130ff4e49.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=09544db7eed5988c0183d77c86bb091e.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_x-2y=8_and_1by2x-y=4_graph.gif\")
The graphs do not intersect.The graph is one line.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
The lines do not intersect.The graph is one line.So there are no solutions that satisfy both equations. This system is consistent and dependent.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The graph of system of linear equations that is consistent and dependent is one line. \ \