document.write( "Question 330254: solve the system of equations for real value of x and y\r
\n" ); document.write( "\n" ); document.write( "2x^2 - y^2 +7 =0
\n" ); document.write( "3x^2 -4y^2 +33 =0 \n" ); document.write( "

Algebra.Com's Answer #236696 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"2x%5E2+-+y%5E2+%2B7+=0\"$
\n" ); document.write( "2. $\"3x%5E2+-4y%5E2+%2B33+=0\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"y%5E2=2x%5E2%2B7\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"3x%5E2-8x%5E2-28%2B33=0\"$
\n" ); document.write( " $\"-5x%5E2%2B5=0\"$
\n" ); document.write( " $\"5x%5E2=5\"$
\n" ); document.write( " $\"x%5E2=1\"$
\n" ); document.write( " $\"x=0+%2B-+1\"$
\n" ); document.write( "Solve for y using eq. 1,
\n" ); document.write( " $\"2-y%5E2%2B7=0\"$
\n" ); document.write( " $\"y%5E2=9\"$
\n" ); document.write( " $\"y=0+%2B-+3\"$
\n" ); document.write( "(-1,3),(-1,-3),(1,3),(1,-3)
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