![\"\"](\"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=ede61a16ecd271b57876dbb3271c6b6b.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7f917a6e9c9fd40fb91d175d3ba25cca.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_3x-7y=-6_and_x+2y=11_graph.gif\")
The graphs appear to intersect at (5, 3).![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
Check the solution:
\To check the solution by substituting the coordinates in each equation.
\Substitute (5, 3) in equation 1.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=164f2805ed93063548dc3fcf203c4e90.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e719181d81f702de3ac51c2f745b4266.png\")
. The statement is true.
Substitute (5, 3) in equation 2.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=84230b8f77c3c672498c700a7393bd42.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=10e2586542eadcec4475b0d36a688959.png\")
. The statement is true.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The solution of the system is (5, 3).