document.write( "Question 696441: Solve the equation: x^2+y^2=34, x+y=2 \n" ); document.write( "
Algebra.Com's Answer #429055 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve this system of equations:
\n" ); document.write( " x^2 + y^2 = 34
\n" ); document.write( " x + y = 2
\n" ); document.write( " y = (2-x)
\n" ); document.write( ":
\n" ); document.write( "Replace y in the 1st equation with (2-x)
\n" ); document.write( "x^2 + (2-x)^2 = 34
\n" ); document.write( "FOIL (2-x)(2-x)
\n" ); document.write( "x^2 + 4 - 4x + x^2 = 34
\n" ); document.write( "combine like terms
\n" ); document.write( "2x^2 - 4x + 4 - 34 = 0
\n" ); document.write( "2x^2 - 4x - 30 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x^2 - 2x - 15 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-5)(x+3) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = 5, then y = -3
\n" ); document.write( "and
\n" ); document.write( "x = -3, the y = +5
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