document.write( "Question 987802: Solve the system of equations x+y=2 and x^2+2y^2=11 \n" ); document.write( "
Algebra.Com's Answer #608523 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Solve the system of equations \r
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\n" ); document.write( "\n" ); document.write( "\"system%28x+%2B+y+=+2%2C%0D%0Ax%5E2+%2B+2y%5E2+=+11%29\".
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\n" ); document.write( "\n" ); document.write( "Express x from the first equation  x = 2-y  and substitute it into the second equation.  You will get\r
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\n" ); document.write( "\n" ); document.write( "\"%282-y%29%5E2\" + \"2y%5E2\" = \"11\",\r
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\n" ); document.write( "\n" ); document.write( "\"4+-+4y+%2B+y%5E2\" + \"2y%5E2\" - \"11\" = 0,\r
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\n" ); document.write( "\n" ); document.write( "\"3y%5E2+-+4y+-+7\" = \"0\",\r
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\n" ); document.write( "\n" ); document.write( "\"y%5B1%2C2%5D\" = \"%284+%2B-+sqrt+%284%5E2+%2B+4%2A3%2A7%29%29%2F6\" = \"%284+%2B-+sqrt+%2816+%2B+84%29%29%2F6\" = \"%284+%2B-+sqrt+%28100%29%29%2F6\" = \"%284+%2B-+10%29%2F6\".\r
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\n" ); document.write( "\n" ); document.write( "\"y%5B1%5D\" = \"%284+%2B+10%29%2F6\" = \"14%2F6\" = \"2\"\"1%2F3\";\r
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\n" ); document.write( "\n" ); document.write( "\"y%5B1%5D\" = \"%284+-+10%29%2F6\" = \"%28-6%29%2F10\" = -1.\r
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