document.write( "Question 457531: Can someone help me solve the solution of the system using the elemination method?\r
\n" ); document.write( "\n" ); document.write( "0.3x - 0.2y = 4
\n" ); document.write( "0.5x + 0.5y = 45/23 \n" ); document.write( "

Algebra.Com's Answer #853412 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 solution of the system using the elemination method?\r
\n" ); document.write( "\n" ); document.write( "0.3x - 0.2y = 4
\n" ); document.write( "0.5x + 0.5y = 45/23
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is TOTALLY and FATALLY incorrect,\r
\n" ); document.write( "\n" ); document.write( "        just because he incorrectly converses 45/23 in the right side of the second equation \r
\n" ); document.write( "\n" ); document.write( "        into decimal fraction 1.96 All his calculations after that are FAKE.\r
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\n" ); document.write( "\n" ); document.write( "        Below see my correct solution\r
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document.write( "Your starting equations are\r\n" );
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document.write( "    0.3x - 0.2y = 4	   (1)\r\n" );
document.write( "    0.5x + 0.5y = 45/23    (2)\r\n" );
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document.write( "To rid fractions, multiply equation (1) by 10; multiply equation (2) by 46.  \r\n" );
document.write( "You will get\r\n" );
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document.write( "     3x -  2y = 40         (3)\r\n" );
document.write( "    23x + 23y = 90         (4)\r\n" );
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document.write( "Now I am going to apply the elimination procedure.  \r\n" );
document.write( "For it, I multiply equation (3) by 23 and multiply equation (4) by 2\r\n" );
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document.write( "    69x - 46y = 920        (5)\r\n" );
document.write( "    46x + 46y = 180        (6)\r\n" );
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document.write( "Add equations (5) and (6)\r\n" );
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document.write( "    69x + 46x = 920 + 180\r\n" );
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document.write( "        115x  =    1100\r\n" );
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document.write( "           x  =     = .\r\n" );
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document.write( "To find 'y', substitute this found value of 'x' into equation (3)\r\n" );
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document.write( "     - 2y = 40.\r\n" );
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document.write( "    2y =  - 40 =  =  = .\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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