document.write( "Question 187521: Solve: 5x+3/root over y=13\r
\n" ); document.write( "\n" ); document.write( " 2x-9/root over y=1
\n" ); document.write( "by elimination method.
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Algebra.Com's Answer #140588 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve:
\n" ); document.write( ":
\n" ); document.write( "Assume the problem is:
\n" ); document.write( "\"5x%2B3sqrt%28y%29+=+13\"
\n" ); document.write( "\"2x-9sqrt%28y%29+=+1\"
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 3 and add
\n" ); document.write( "\"15x+%2B+9sqrt%28y%29+=+39\"
\n" ); document.write( "\"2x+-+9sqrt%28y%29+=+1\"
\n" ); document.write( "-----------------------eliminates y
\n" ); document.write( "17x = 40
\n" ); document.write( "x = \"40%2F17\"
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation
\n" ); document.write( "\"5%2840%2F17%29%2B+3sqrt%28y%29+=+13\"
\n" ); document.write( "\"%28200%2F17%29%2B+3sqrt%28y%29+=+13\"
\n" ); document.write( "\"3sqrt%28y%29+=+13+-+%28200%2F17%29\"
\n" ); document.write( "\"3sqrt%28y%29+=+%28221%2F17%29-+%28200%2F17%29\"
\n" ); document.write( "\"3sqrt%28y%29+=+%2821%2F17%29\"
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "\"sqrt%28y%29+=+%287%2F17%29\"
\n" ); document.write( "Square both sides
\n" ); document.write( "y = \"49%2F221\"
\n" ); document.write( ";
\n" ); document.write( "Check solution; x = \"40%2F17\", y = \"49%2F221\" in the 2nd equation
\n" ); document.write( "\"2x-9sqrt%28y%29+=+1\"
\n" ); document.write( "\"2%2840%2F17%29-+9sqrt%2849%2F221%29+=+1+\"
\n" ); document.write( "\"%2880%2F17%29-+9%2A%287%2F17%29+=+1\"
\n" ); document.write( "\"%2880%2F17%29-+%2863%2F17%29+=+1\"
\n" ); document.write( "\"17%2F17\" = 1
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