document.write( "Question 974586: Solve for x,y,z if
\n" ); document.write( "(x+y)(y+z)=18,(y+z)(z+x)=30and(x+y)(x+z)=15 \n" ); document.write( "
Algebra.Com's Answer #596479 by amarjeeth123(569)\"\" \"About 
You can put this solution on YOUR website!
(x+y)(y+z)=18........equation 1
\n" ); document.write( "(y+z)(z+x)=30........equation 2
\n" ); document.write( "(x+y)(x+z)=15........equation 3
\n" ); document.write( "Multiplying the three equations we get,
\n" ); document.write( "[(x+y)(y+z)(z+x)]^2=18(30)(15)=8100
\n" ); document.write( "(x+y)(y+z)(z+x)=√8100=90....equation 4
\n" ); document.write( "Dividing equation 4 by equation 1 we get
\n" ); document.write( "z+x=5......equation 5
\n" ); document.write( "Dividing equation 4 by equation 2 we get
\n" ); document.write( "x+y=3......equation 6
\n" ); document.write( "Dividing equation 4 by equation 3 we get
\n" ); document.write( "y+z=6......equation 7
\n" ); document.write( "Adding equations 5,6 and 7 we get,
\n" ); document.write( "2(x+y+z)=14
\n" ); document.write( "x+y+z=7....equation 8
\n" ); document.write( "Subtracting equation 5 from equation 8
\n" ); document.write( "y=2
\n" ); document.write( "x=1
\n" ); document.write( "z=4
\n" ); document.write( "x=1,y=2 and z=4
\n" ); document.write( " \n" ); document.write( "
\n" );