document.write( "Question 7338: find the values of m such that this question has no solution sets:\r
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document.write( "4x-2y=12
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document.write( "3x+my=2
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Algebra.Com's Answer #4080 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! no solution means the 2 lines will not cross (the crossing point is the solution). This only occurs when the lines are parallel.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, work out gradient of first line...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x-2y=12 \n" ); document.write( "-2y=-4x+12 \n" ); document.write( "y = 2x - 6 --> gradient = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so second line needs \"2x\", so: 3x+my=2 gives\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "my = -3x+2 \n" ); document.write( "y = (-3/m)x + 2/m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, -3/m has to be equal to 2...so\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3/m = 2 \n" ); document.write( "--> m = -3/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |