document.write( "Question 928142: 3x^2-y^2=3
\n" ); document.write( "2x-y=1 \n" ); document.write( "

Algebra.Com's Answer #563891 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"3x%5E2-y%5E2=3\"$
\n" ); document.write( "2. $\"2x-y=1\"$
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\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y=2x-1\"$
\n" ); document.write( " $\"y%5E2=%282x-1%29%5E2\"$
\n" ); document.write( " $\"y%5E2=4x%5E2-4x%2B1\"$
\n" ); document.write( "Substituting into eq. 1,
\n" ); document.write( " $\"3x%5E2-%284x%5E2-4x%2B1%29=3\"$
\n" ); document.write( " $\"-x%5E2%2B4x-1=3\"$
\n" ); document.write( " $\"-x%5E2%2B4x-4\"$
\n" ); document.write( " $\"x%5E2-4x%2B4=0\"$
\n" ); document.write( " $\"%28x-2%29%5E2=0\"$
\n" ); document.write( " $\"x-2=0\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y=2%282%29-1\"$
\n" ); document.write( " $\"y=3\"$
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