document.write( "Question 930365: solve algebraically for each system given below x^2+y^2=100 x+y=2 \n" ); document.write( "

Algebra.Com's Answer #564921 by Fombitz(32388) $\"\"$ $\"About$

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From eq. 2,
\n" ); document.write( " $\"x=2-y\"$
\n" ); document.write( " $\"x%5E2=4-4y%2By%5E2\"$
\n" ); document.write( "Substituting into eq. 1,
\n" ); document.write( " $\"4-4y%2By%5E2%2By%5E2=100\"$
\n" ); document.write( " $\"2y%5E2-4y-96=0\"$
\n" ); document.write( " $\"y%5E2-2y-48=0\"$
\n" ); document.write( " $\"%28y-8%29%28y%2B6%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y-8=0\"$
\n" ); document.write( " $\"y=8\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x=2-8\"$
\n" ); document.write( " $\"x=-6\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y%2B6=0\"$
\n" ); document.write( " $\"y=-6\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x=2-%28-6%29%7D%7D%0D%0A%7B%7B%7Bx=2%2B6\"$
\n" ); document.write( " $\"x=8\"$
\n" ); document.write( "(-6,8) and (8,-6) \n" ); document.write( "

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