![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Write the each equation in slope-intercept form y = mx + b.
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=45785721815f3a63ab97eb44e79338ef.png\")
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![\"\"](\"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=2_and_2x+4y=8_graph.gif\")
The graphs do not intersect.Their graphs are parallel lines.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
The lines do not intersect.Their graphs are parallel lines.So there are no solutions that satisfy both equations. This system is inconsistent.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The lines do not intersect.Their graphs are parallel lines.So there are no solutions that satisfy both equations. This system is inconsistent.