document.write( "Question 457528: Can someone help me solve the solutin of the system using the elemination method?\r
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Algebra.Com's Answer #853413 by ikleyn(53538) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Can someone help me solve the solutin of the system using the elemination method?
\n" ); document.write( "5x + 2y = -11
\n" ); document.write( "7x - 3y = 13
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\n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is FATALLLY WRONG due to numerous arithmetic errors.\r
\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "Your starting equations are \r\n" );
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document.write( "    5x + 2y = -11     (1)\r\n" );
document.write( "    7x - 3y =  13     (2)\r\n" );
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document.write( "Multiply eq(1) by 3; multiply eq(2) by 2\r\n" );
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document.write( "    15x + 6y = -33    (3)\r\n" );
document.write( "    14x - 6y =  26    (4)\r\n" );
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document.write( "Add equation (4) from equation (3)\r\n" );
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document.write( "    15x - 14x = -33 + 26\r\n" );
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document.write( "       29x    =    -7\r\n" );
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document.write( "         x    =    -7/29\r\n" );
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document.write( "Now find 'y' from equation (1) by substituting the found value x = -7/29 there\r\n" );
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document.write( "     + 2y = -11,\r\n" );
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document.write( "     2y = -11 +  =  = ,\r\n" );
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document.write( "      y = .\r\n" );
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document.write( "ANSWER.  x = ,  y = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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