document.write( "Question 931592: solve algebraically\r
\n" ); document.write( "\n" ); document.write( "4x^2+y^2=64
\n" ); document.write( "x^2+y^2=52 \n" ); document.write( "

Algebra.Com's Answer #565648 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%5E2%2By%5E2=64\"$ ....eq.1
\n" ); document.write( " $\"x%5E2%2By%5E2=52\"$ .....eq.2
\n" ); document.write( "___________________________subtract eq.2 from eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"4x%5E2%2By%5E2-%28x%5E2%2By%5E2%29=64-52\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x%5E2%2Bcross%28y%5E2%29-x%5E2-cross%28y%5E2%29=12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x%5E2=12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=12%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=sqrt%284%29\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions: $\"x=2\"$ or $\"x=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "substitute these solutions in eq.1 or eq.2 and solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%5E2%2By%5E2=52\"$ .....eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"4%2By%5E2=52\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2=52-4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2=48\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=sqrt%2848%29\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions: $\"y=6.93\"$ or $\"y=-6.93\"$ \r
\n" ); document.write( "\n" ); document.write( "system solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ and $\"y=6.93\"$
\n" ); document.write( " $\"x=2\"$ and $\"y=-6.93\"$
\n" ); document.write( "or
\n" ); document.write( " $\"x=-2\"$ and $\"y=6.93\"$
\n" ); document.write( " $\"x=-2\"$ and $\"y=-6.93\"$ \r
\n" ); document.write( "\n" ); document.write( "

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