![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The equations of linear system are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f42d460b2c9d6e3bd40ca4f9ee223d6b.png\")
.
The equations ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f42d460b2c9d6e3bd40ca4f9ee223d6b.png\")
of graph in the same coordinate plane is
![\"graph](\"/userfiles/image/Library/Algebra1/graph_the_equations_x-y=1_x-y=6.gif\")
Observe the graph, the two lines are parallel because they have same slope but different y - intercepts.The parallel lines do not intersect, so the linear system has no solutions.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The linear system has no solutions.