document.write( "Question 91749: I am in need of some additional help with
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document.write( "Solving an inconsistent system\r
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document.write( "2x-y=4
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document.write( "2x-y=6\r
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document.write( "Am I off to a good start?\r
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document.write( "2x+y=2
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document.write( "y=2x+4
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document.write( " 2/2+ 4/2
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document.write( "y=x+3
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document.write( "(0,2) okay I need another solution for the problem. I'm not sure how to go about getting it. Please help
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Algebra.Com's Answer #66626 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solving an inconsistent system \n" ); document.write( "2x-y=4 \n" ); document.write( "2x-y=6 \n" ); document.write( "-----------' \n" ); document.write( "Let's see what inconsistent means. \n" ); document.write( "----------------- \n" ); document.write( "Assuming that the x and the y variables mean the \n" ); document.write( "same in the two equation you can subtract one from \n" ); document.write( "the other and get 0 = 2 \n" ); document.write( "------------ \n" ); document.write( "But that is false \n" ); document.write( "--------------- \n" ); document.write( "It happened because you assumed 2x in each equation \n" ); document.write( "could be replaced by some number and y in each equation \n" ); document.write( "could be replaced by some number. \n" ); document.write( "---------------- \n" ); document.write( "Obviously that assumption is wrong. \n" ); document.write( "That is why the system is called inconsistent. \n" ); document.write( "------------------ \n" ); document.write( "There is no solution to the system of equations. \n" ); document.write( "========================= \n" ); document.write( "If you graphed the two equations you would get \n" ); document.write( "two parallel line. There is no point that is on \n" ); document.write( "both lines. \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |