![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f4e229c6aff9ccf7ac56f26fb0ed85d6.png\")
Since the matrices are equal, the corresponding elements are equal.
\Write two linear equations.
\x + 3y = –22
\2x – y = 19
\![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
Consider the second equation
\2x – y=19
\2x – y + y= 19 + y
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4b9892ebe2e26cf9dc1ea80b5883d1f2.png\")
![\"\"](\"/userfiles/image/steps_images/step3.JPG\")
Substitute ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4b9892ebe2e26cf9dc1ea80b5883d1f2.png\")
in x + 3y = – 22
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5c340851c7e1d609af7cc358a5a3f9e4.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d3a692fd133770a1855b167bd7d9973f.png\")
19 + y + 6y = –44 (Multiply each side by 2)
\19 + 7y = –44 (Add: 6y + y = 7y)
\19 -19 + 7y = –44 – 19 (Subtraction 19 from each side)
\7y = – 63 (Subtract: – 44 –19 = – 63)
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=82dc5ee36d5fbff23ba20bba75b0fd60.png\")
(Divide each side by 7)
y = – 9 (Simplify)
\![\"\"](\"/userfiles/image/steps_images/step4.JPG\")
To find the value of x, substitute – 9 for y in either equation.
\2x – y = 19
\2x + 9 = 19 (Substitute –9 for y)
\2x + 9 – 9 = 19 – 9 (Subtract 9 from each side)
\2x = 10 (Subtract: 19 – 9 = 10)
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0be88c241dbc13e614623494fa2e987b.png\")
(Divide each side by 2)
x = 5 (Simplify)
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The solution is (5,-9)
\