document.write( "Question 1049120: 2/x-5/y=5
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Algebra.Com's Answer #664670 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "2/x-5/y=5
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\n" ); document.write( "\n" ); document.write( "The way which \"josgarithmetic\" offers to you is wrong and without hope to get the result.
\n" ); document.write( "It is because this person (I can not call him as a \"tutor\") is mathematically illiterate and has no any notion on
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\n" ); document.write( "\n" ); document.write( "I will show you the way.\r
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document.write( "Introduce new variables u = \"1%2Fx\"  and  v = \"1%2Fy\".\r\n" );
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document.write( "Then your system takes the form\r\n" );
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document.write( "2u -  5v =  5,    (1)\r\n" );
document.write( "3u + 10v = 18.    (2)\r\n" );
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document.write( "Let us solve this system by the Elimination method. \r\n" );
document.write( "Multiply equation (1) by 2 (both sides) and then add to the equation (2).\r\n" );
document.write( "You will get\r\n" );
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document.write( "4u + 3u = 10 + 18  --->  7u = 28  --->  u = \"28%2F4\" = 4.\r\n" );
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document.write( "Next, from (2)  10v = 18 - 3u = 18 - 3*4 = 6  --->  v = \"6%2F10\" = \"3%2F5\" = 0.6.\r\n" );
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document.write( "Now recall that u = \"1%2Fx\".  Hence,  x = \"1%2Fu\" = \"1%2F4\".\r\n" );
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document.write( "Similarly,  v = \"1%2Fy\".  Hence,  y = \"1%2F%28%283%2F5%29%29\" = \"5%2F3\".\r\n" );
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document.write( "The problem is solved.  The solution to the given/original system is found: x =\"1%2F4\",  y = \"5%2F3\".\r\n" );
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document.write( "The intersection point is  (x,y) = (\"1%2F4\",\"5%2F3\").\r\n" );
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Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard way solving such problems.\r
\n" ); document.write( "\n" ); document.write( "See the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Solving systems of non-linear equations in two unknowns using the Cramer's rule \r
\n" ); document.write( "\n" ); document.write( "    - Solving systems of non-linear equations in three unknowns using Cramer's rule\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Systems of equations that are not linear\".\r
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