document.write( "Question 1191180: x + y + z =6
\n" ); document.write( "x+2y+3z=10
\n" ); document.write( "x+2y+az=b)
\n" ); document.write( "

Algebra.Com's Answer #822970 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x+%2B+y+%2B+z+=6\"........1)
\n" ); document.write( "\"x%2B2y%2B3z=10\".......2)
\n" ); document.write( "\"x%2B2y%2Baz=b\".........3)
\n" ); document.write( "___________________________\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+y+%2B+z+=6\"........1)
\n" ); document.write( "\"x%2B2y%2B3z=10\".......2)
\n" ); document.write( "____________________________subtract\r
\n" ); document.write( "\n" ); document.write( "\"x%2B2y%2B3z-x+-+y+-+z+=10-6\"
\n" ); document.write( "\"y%2B2z++=4\".......solve for \"y\"
\n" ); document.write( "\"y++=4-2z\"............1.1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+y+%2B+z+=6\"........1).........substitute \"y\"
\n" ); document.write( "\"x+%2B+4-2z+%2B+z+=6\".....solve for \"x\"
\n" ); document.write( "\"x+%2B+4-z++=6\"
\n" ); document.write( "\"x+=z-4%2B6\"
\n" ); document.write( "\"x+=z%2B2\"...............1.2)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B2y%2Baz=b\".........3)........substitute \"x\", \"y\", \r
\n" ); document.write( "\n" ); document.write( "\"z%2B2%2B2%284-2z%29%2Baz=b\".....solve for \"z\"\r
\n" ); document.write( "\n" ); document.write( "\"z%2B2%2B8-4z%2Baz=b\"
\n" ); document.write( "\"z%2B10-4z%2Baz=b\"
\n" ); document.write( "\"az-3z=b-10\"
\n" ); document.write( "\"%28a-3%29z=b-10\"
\n" ); document.write( "\"z=%28b-10%29%2F%28a-3%29\"...........1.3)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"x+=%28b-10%29%2F%28a-3%29%2B2\"...............1.2)\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "\"y++=4-2%28%28b-10%29%2F%28a-3%29%29\"............1.1)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The solutions to the system of equations are: \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28b-10%29%2F%28a-3%29%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"y=4-%282%28b-10%29%2F%28a-3%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28b-10%29%2F%28a-3%29\" where\"+a%3C%3E3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );