document.write( "Question 1123743: Solve the system by the addition method. Identify dependent systems. \r
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Algebra.Com's Answer #740103 by Edwin McCravy(20056)\"\" \"About 
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document.write( "2x + 3y = 5\r\n" );
document.write( "3y = 5 - 2x \r\n" );
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document.write( "Add +2x to both sides of the second equation:\r\n" );
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document.write( "   3y = 5 - 2x \r\n" );
document.write( "  +2x      +2x\r\n" );
document.write( "  ------------\r\n" );
document.write( "3y+2x = 5\r\n" );
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document.write( "Swap the terms on the left side:\r\n" );
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document.write( "2x+3y = 5\r\n" );
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document.write( "So the system of equations is:\r\n" );
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document.write( "2x + 3y = 5\r\n" );
document.write( "2x + 3y = 5\r\n" );
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document.write( "Multiply the second equation through by -1\r\n" );
document.write( "and add the two equations vertically\r\n" );
document.write( "term by term:\r\n" );
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document.write( " 2x + 3y =  5\r\n" );
document.write( "-2x - 3y = -5\r\n" );
document.write( "-------------\r\n" );
document.write( "  0 -  0 =  0\r\n" );
document.write( "       0 =  0\r\n" );
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document.write( "When attempting to solve a system of equations, \r\n" );
document.write( "if all the variable terms cancel, leaving only\r\n" );
document.write( "purely numeric terms, then if the purely\r\n" );
document.write( "numeric equation is true, the system of \r\n" );
document.write( "equations is dependent, and if the purely\r\n" );
document.write( "numeric equation is false, the system of \r\n" );
document.write( "equations is inconsistent.\r\n" );
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document.write( "Since the purely numeric equation 0 = 0 is\r\n" );
document.write( "true, the system is dependent.\r\n" );
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document.write( "Edwin

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