document.write( "Question 1016099: Eliminate
\n" ); document.write( "{6X-2y =11
\n" ); document.write( "{-9X+3y=16 \n" ); document.write( "

Algebra.Com's Answer #632473 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Eliminate
\n" ); document.write( "{6X-2y =11
\n" ); document.write( "{-9X+3y=16
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document.write( " 6x - 2y = 11   (1)\r\n" );
document.write( "-9x + 3y = 16   (2)\r\n" );
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document.write( "Multiply equation (1) by 3 and equation (2) by 2. Then add. \r\n" );
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document.write( "In this way you eliminate y and obtain a single equation for x:\r\n" );
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document.write( "18x - 18x = 3*11 - 2*16,\r\n" );
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document.write( "0x = 1.\r\n" );
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document.write( "The last equation has no solution.\r\n" );
document.write( "Hence, the original system has no solution, too.\r\n" );
document.write( "This system is inconsistent.\r\n" );
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document.write( "You may discover it from the very beginning, just before I started these transformations.\r\n" );
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document.write( "Indeed, left sides of the original equations are proportional.\r\n" );
document.write( "But the right sides are not proportional with the same coefficient of proportionality.\r\n" );
document.write( "It just indicates that the system is inconsisted.\r\n" );
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