![\"\"](\"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=b351469c88d7dfc9641c86687d6ca563.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0813197f4164ac2a286218b780b00728.png\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Graph the equations and find the intersection point.
\![\"system](\"/userfiles/image/Library/Algebra1/system_equations_2x+y=-4_and_y+2x=3_graph.gif\")
The graphs do not intersect .![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
Since their graphs of two lines are parallel, there is no solution of the system.This system is inconsistent.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The system is inconsistent.