document.write( "Question 201617: Solve the system by substitution\r
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document.write( "-x-6y=5
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document.write( "x+6y=7
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Algebra.Com's Answer #151826 by stanbon(75887) ![]() You can put this solution on YOUR website! Solve the system by substitution \n" ); document.write( "-x-6y=5 \n" ); document.write( "x+6y=7 \n" ); document.write( "---------------- \n" ); document.write( "Solve the 1st equation for \"x\": \n" ); document.write( "x = -6y-5 \n" ); document.write( "---- \n" ); document.write( "Substitute into the 2nd equation to solve for \"y\": \n" ); document.write( "-6y-5 + 6y = 7 \n" ); document.write( "-5 = 7 \n" ); document.write( "---- \n" ); document.write( "This is a contradiction. \n" ); document.write( "It means there is no consistency between the x/y values \n" ); document.write( "of the two equations. \n" ); document.write( "It means the graphs of the two equations are parallel. \n" ); document.write( "The system is said to be inconsistent. \n" ); document.write( "The system has no solution. \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |