document.write( "Question 1117128: solve the system x^2+y^2=37, 3x-9=y there are two solutions: (x1,y1) and (x2,y2)
\n" ); document.write( "Evaluate x1+y1+x2+y2= \n" ); document.write( "
Algebra.Com's Answer #732105 by ankor@dixie-net.com(22740)\"\" \"About 
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solve the system x^2+y^2=37, 3x-9=y
\n" ); document.write( "replace (3x-9) for y in the first equation
\n" ); document.write( "x^2 + (3x-9)^2 = 37
\n" ); document.write( "FOIL (3x-9)(3x-9)
\n" ); document.write( "x^2 + 9x^2 -27x - 27x + 81 = 37
\n" ); document.write( "10x^2 - 54x + 81 - 37 = 0
\n" ); document.write( "10x^2 - 54x + 44 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "5x^2 - 27x + 22 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(5x-22)(x-1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "5x = 22
\n" ); document.write( "x = 22/5
\n" ); document.write( "x = 4.4
\n" ); document.write( "and
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "there are two solutions:
\n" ); document.write( "y = 3(4.4)-9
\n" ); document.write( "y = 4.2
\n" ); document.write( "and
\n" ); document.write( "y = 3(1) - 9
\n" ); document.write( "y = -6
\n" ); document.write( ":
\n" ); document.write( "(x1,y1) and (x2,y2)
\n" ); document.write( "4.4, 4.2 and 1,-6
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( "4.4^2 + .2^2 = 37
\n" ); document.write( "and
\n" ); document.write( "1^2 + -6^2 = 37 \n" ); document.write( "
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