document.write( "Question 1180645: It asks to solve this problem analytical and show graph
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Algebra.Com's Answer #853744 by ikleyn(53617) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "It asks to solve this problem analytical and show graph
\n" ); document.write( " x + 2y = 8
\n" ); document.write( "2x + 2y = 6
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\n" ); document.write( "\n" ); document.write( "        I write it, because I do not agree with the procedure, which @mananth uses in his solution.\r
\n" ); document.write( "\n" ); document.write( "        As the equations are given, there is a straightforward way to proceed, without making unnecessary calculations.\r
\n" ); document.write( "\n" ); document.write( "        You will get the same answer, but will not do unnecessary job.\r
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document.write( " x + 2y = 8,     (1)\r\n" );
document.write( "2x + 2y = 6.     (2)\r\n" );
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document.write( "As equations are given, you are lucky, because equations ARE JUST READY for elimination.\r\n" );
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document.write( "From equation (2), subtract equation (1).  The terms '2y' will cancel each other, so you will get\r\n" );
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document.write( "   2x - x = 6 - 8,\r\n" );
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document.write( "      x   =   -2.\r\n" );
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document.write( "Then from equation (1)\r\n" );
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document.write( "    2y = 8 - x = 8 - (-2) = 10,\r\n" );
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document.write( "     y = 10/2 = 5.\r\n" );
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document.write( "ANSWER.  The solution is x = -2,  y = 5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in a way as it should be done and as it is expected to be done.\r
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\n" ); document.write( "\n" ); document.write( "If you will solve following to @mananth's way, the teacher will make squared eyes
\n" ); document.write( "and will consider your job as if you are mentally blind and do not see the simplest way.
\n" ); document.write( "In the next instance, the teacher will understand, that you were indoctrinated
\n" ); document.write( "by an Artificial Intelligence in its, still not perfect, mode.\r
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\n" ); document.write( "\n" ); document.write( "I do understand PERFECTLY, why @mananth selected that way.\r
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\n" ); document.write( "\n" ); document.write( "It is because his computer code, which he uses as an Artificial Intelligence,
\n" ); document.write( "is programmed this way.\r
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\n" ); document.write( "\n" ); document.write( "It does not seek for the best way or for most reasonable way.\r
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\n" ); document.write( "\n" ); document.write( "In this sense, his computer code is not a perfect tool for teaching.\r
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