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\n" ); document.write( "2x-y=4 --- (1)\r
\n" ); document.write( "\n" ); document.write( "2x-y=6 --- (2)\r
\n" ); document.write( "\n" ); document.write( "For (1) equation ---
\n" ); document.write( "we get
\n" ); document.write( "For x = 0, 0 - y = 4 or y = -4 so Point is (0, -4)
\n" ); document.write( "For y = 0, 2x - 0= 4 or 2x = 4 or x = 2 so point is (2, 0)\r
\n" ); document.write( "\n" ); document.write( "For (2) equation ---
\n" ); document.write( "we get
\n" ); document.write( "For x = 0, 0 - y = 6 or y = -6 so Point is (0, -6)
\n" ); document.write( "For y = 0, 2x - 0= 6 or 2x = 6 or x = 3 so point is (3, 0)\r
\n" ); document.write( "\n" ); document.write( "Now plot the points for both equations and draw straight lines joining the points... \r
\n" ); document.write( "\n" ); document.write( "You will get two lines which are parallel lines.. and never intersect.. \r
\n" ); document.write( "\n" ); document.write( "Which shows that the system of linear equations is inconsistent (no solution exists).\r
\n" ); document.write( "\n" ); document.write( "Also if I look at the equations and see the coefficients of (x), of (y) and the independent term of both equations..\r
\n" ); document.write( "\n" ); document.write( "I get 2/2 = -1/-1 which is not equal to the independent terms 4/6\r
\n" ); document.write( "\n" ); document.write( "so condition for inconsistency is a1/a2 = b1/b2 not equal to c1/c2\r
\n" ); document.write( "\n" ); document.write( "Hope the solution is clear to you. In case you have any doubt, you are welcome to contact me at jainederkapoor@gmail.com I am also available for Online Tutoring at very reasonable price.\r
\n" ); document.write( "\n" ); document.write( "Jainender Kapoor \n" ); document.write( "