document.write( "Question 684378: Find common solution algebraically for y=x^2+4x and 2y-y=1 Answer for this was (-1, -3)How do you get this? Please help and thank you. \n" ); document.write( "
Algebra.Com's Answer #424074 by MathLover1(20850)\"\" \"About 
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if (\"-1\",\"+-3\")
\n" ); document.write( "\"-3=%28-1%29%5E2%2B4%28-1%29\"
\n" ); document.write( "\"-3=1-4\"
\n" ); document.write( "\"-3=-3\"\r
\n" ); document.write( "\n" ); document.write( "\"2y-y=1\"
\n" ); document.write( "\"2%28-3%29-%28-3%29=1\"
\n" ); document.write( "\"-6%2B3=1\"
\n" ); document.write( "\"-3%3C%3E1\"\r
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\n" ); document.write( "\n" ); document.write( "so, (\"-1\",\"+-3\") is not common solution\r
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\n" ); document.write( "\n" ); document.write( "than common solution will be:\r
\n" ); document.write( "\n" ); document.write( "for \"y=x%5E2%2B4x\" and \r
\n" ); document.write( "\n" ); document.write( "\"2y-y=1\"...=>...\"y=1\"...plug it in \"y=x%5E2%2B4x\" and solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"1=x%5E2%2B4x\"\r
\n" ); document.write( "\n" ); document.write( "\"0=x%5E2%2B4x-1\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x-1=0\"....use quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B-+sqrt%28+16%2B4+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B-+sqrt%28+20+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B-+4.47%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B4.47%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%280.47%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+0.235\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+-4.47%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-8.47%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-4.235\"\r
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\n" ); document.write( "\n" ); document.write( "\r
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\n" ); document.write( "\n" ); document.write( " common solution (\"0.235\",\"1\") and (\"-4.235\",\"1\")
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