![\"\"](\"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=08ec5799d2e6224c49e4ca3e5f5d2702.png\")
-----------------------> (Equation 1)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c887dd1f33dc259243e264809b0e2efd.png\")
-----------------------> (Equation 2)
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Graph the equations and find the intersection point.
\![\"graph](\"/userfiles/image/Library/Algebra1/graph_of_system_of_equations_x_plus_y_equal_2_and_y_equal_4_x_plus_7.gif\")
The graphs appear to intersect at (–1, 3).![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
Check:
\To check the solution by substituting the coordinates in each equation.
\Substitute (–1, 3) in equation 1.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2a003968c41d915bc4c7ef6ee80b6453.png\")
2 = 2 (Add: –1 + 3 = 2)
\The statement is true.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step4.JPG\")
Substitute (–1, 3) in equation 2.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ebfaacda3dfa6590123820a67e05dd1c.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=fcc93d5d3363f716e68fe58dca355321.png\")
(Simplify)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4adb9d065304b133728441bbcaed1661.png\")
(Add: –4 + 7 = 3)
The statement is true.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The solution of the system is (–1, 3).