document.write( "Question 389077: What are the solutions for the system of equations for x^2+y^2=36 y=x+2. I tried using substitution, but when it came down to the factoring part I got stuck. \n" ); document.write( "

Algebra.Com's Answer #275572 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"x%5E2%2By%5E2=36\"$
\n" ); document.write( "2. $\"y=x%2B2\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y%5E2=%28x%2B2%29%5E2\"$
\n" ); document.write( " $\"y%5E2=x%5E2%2B4x%2B4\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"x%5E2%2B%28x%5E2%2B4x%2B4%29=36\"$
\n" ); document.write( " $\"2x%5E2%2B4x-32=0\"$
\n" ); document.write( " $\"x%5E2%2B2x-16=0\"$
\n" ); document.write( " $\"%28x%5E2%2B2x%2B1%29-16-1=0\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2-17=0\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2=17\"$
\n" ); document.write( " $\"x%2B1=0++%2B-+sqrt%2817%29\"$
\n" ); document.write( " $\"highlight%28x=-1+%2B-+sqrt%2817%29%29\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"y=-1+%2B-+sqrt%2817%29%2B2\"$
\n" ); document.write( " $\"highlight%28y=1%2B-+sqrt%2817%29%29\"$
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