document.write( "Question 1181614: What is the solution to the system?
\n" ); document.write( "-x-2y=2\r
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Algebra.Com's Answer #853571 by ikleyn(53746)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "What is the solution to the system?
\n" ); document.write( "-x-2y=2
\n" ); document.write( "2x+3y=-3
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is  INCORRECT.\r
\n" ); document.write( "\n" ); document.write( "        Easy check shows that his answer  (-16,7)  does not satisfy first equation.\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( "    -x - 2y =  2    (1)\r\n" );
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document.write( "    2x + 3y = -3    (2)\r\n" );
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document.write( "Multiply equation (1) by 2 and add with the second equation.  You will get\r\n" );
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document.write( "         -y =  1,  y = -1.\r\n" );
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document.write( "Then from equation (1),  \r\n" );
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document.write( "    x = -2y - 2 = -2*(-1) - 2 = 2 - 2 = 0.\r\n" );
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document.write( "ANSWER.  There is a unique solution  x = 0,  y = -1.\r\n" );
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document.write( "CHECK.   You may check it on your own, that my answer satisfies both given equations.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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