![\"\"](\"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=e3b4cf1efc6aea7fae12c1ef72327331.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f0517cf88d9833f28122f9c1af353963.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_3y-x=-2_and_y-1by3x=2_graph.gif\")
The graphs do not intersect.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
Since their graphs are parallel lines. there is no solution .This system is inconsistent.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The system is inconsistent.