document.write( "Question 561576: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write \"no solution\".\r
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document.write( "10x - 10y = 1\r
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document.write( "x = y - 3 \n" );
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Algebra.Com's Answer #364299 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "10x - 10y = 1 \r\n" ); document.write( " x = y - 3\r\n" ); document.write( "\r\n" ); document.write( "The second equation is solved for x, So\r\n" ); document.write( "substitute (y - 3) for x in the first equation\r\n" ); document.write( "\r\n" ); document.write( " 10x - 10y = 1\r\n" ); document.write( "10(y - 3) - 10y = 1\r\n" ); document.write( " 10y - 30 - 10y = 1\r\n" ); document.write( " -30 = 1\r\n" ); document.write( "\r\n" ); document.write( "They y's all canceled out and left a false numerical equation, \r\n" ); document.write( "-30 in not equal to 1, so there is no solution. The system is called an\r\n" ); document.write( "inconsistent system of equation.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |