document.write( "Question 1074087: How do I solve this non-linear system of equation?\r
\n" ); document.write( "\n" ); document.write( "6x^2+y^2=1
\n" ); document.write( "x^2+2y^2=13 \n" ); document.write( "
Algebra.Com's Answer #688802 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
6x^2 + y^2 = 1
\n" ); document.write( " x^2 +2y^2 =13
\n" ); document.write( "use elimination, multiply the 1st equation by 2
\n" ); document.write( "12x^2 +2y^2 = 2
\n" ); document.write( " x^2 + 2y^2 = 13
\n" ); document.write( "-------------------subtraction eliminates y^2, find x^2
\n" ); document.write( "11x^2 + 0 = -11
\n" ); document.write( "x^2 = -11/11
\n" ); document.write( "x^2 = -1
\n" ); document.write( "Find y, replace x^2 with -1 in the first equation
\n" ); document.write( "6(-1) + y^2 = 1
\n" ); document.write( "y^2 = 1 + 6
\n" ); document.write( "y^2 = 7
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd equation
\n" ); document.write( "-1 + 2(7) = 13
\n" ); document.write( ":
\n" ); document.write( "perhaps they wanted this
\n" ); document.write( "x^2 = -1
\n" ); document.write( "x =\"sqrt%28-1%29\"
\n" ); document.write( "x = i, (we know the i^2 = -1)
\n" ); document.write( "and
\n" ); document.write( "y = \"sqrt%287%29\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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