document.write( "Question 696814: Solve the system of equations
\n" ); document.write( "(x+y)(x+y+z)=66
\n" ); document.write( "(y+z)(x+y+z)=99
\n" ); document.write( "(z+x)(x+y+z)=77 \n" ); document.write( "
Algebra.Com's Answer #429342 by god2012(113)\"\" \"About 
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Given:
\n" ); document.write( "(x+y)(x+y+z)=66----------------------------------------eq.1
\n" ); document.write( "(z+y)(x+y+z)=99----------------------------------------eq.2
\n" ); document.write( "(z+x)(x+y+z)=77----------------------------------------eq.3\r
\n" ); document.write( "\n" ); document.write( "Solution : Add all 3 equations
\n" ); document.write( "\"%28x%2By%29%28x%2By%2Bz%29%2B%28x%2By%29%28x%2By%2Bz%29%2B%28z%2Bx%29%28x%2By%2Bz%29=242\"
\n" ); document.write( "\"%28x%2By%2Bz%292%28x%2By%2Bz%29+=+242\"
\n" ); document.write( "\"%28x%2By%2Bz%29%5E2+=+121+=+11%5E2\"
\n" ); document.write( "x+y+z = 11 -------------------------------------------eq.4\r
\n" ); document.write( "\n" ); document.write( "substitute eq.4 in eq. 1 , eq.2 and eq.3 , we get\r
\n" ); document.write( "\n" ); document.write( "x+y = 6------------------------------------------------eq.5
\n" ); document.write( "y+z = 9------------------------------------------------eq.6
\n" ); document.write( "x+z = 7------------------------------------------------eq.7\r
\n" ); document.write( "\n" ); document.write( "Add eq.5 and 6, we get\r
\n" ); document.write( "\n" ); document.write( "\"x%2B2y%2Bz+=+15\"---------------------------------------eq.8\r
\n" ); document.write( "\n" ); document.write( "Subtract eq.4 from eq.8, we get\r
\n" ); document.write( "\n" ); document.write( "y = 4 --------------------------------------------------a\r
\n" ); document.write( "\n" ); document.write( "Put a in eq.5 and eq.6, we get,\r
\n" ); document.write( "\n" ); document.write( "X = 2 , Z = 5, Y = 4\r
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