document.write( "Question 648250: x+3y+z=6
\n" ); document.write( "3x+y-z=-2
\n" ); document.write( "2x+2y-z=1
\n" ); document.write( "

Algebra.Com's Answer #406634 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "x+3y+z=6
\n" ); document.write( "3x+y-z=-2
\n" ); document.write( "2x+2y-z=1
\n" ); document.write( "Basic Plan:
\n" ); document.write( "·Use a pair of equations and eliminate one variable.
\n" ); document.write( "· Use a different pair of equations and eliminate the same variable.
\n" ); document.write( "·Solve the system found, determining the values of those variables.
\n" ); document.write( "·Substitute those into an original equation to find the remaining variable’s value.

\n" ); document.write( "x+3y+z=6
\n" ); document.write( "3x+y-z= -2 || Adding to eliminate z
\n" ); document.write( " \"4x+%2B+4y+=+4\"
\n" ); document.write( "3x+y-z=-2
\n" ); document.write( "2x+2y-z=1 || Subtracting 2nd EQ from 1st to eliminate z
\n" ); document.write( " \"x+-+y+=+-3\"
\n" ); document.write( " 4x + 4y = 4
\n" ); document.write( " x - y = -3 ||Multiplying 2nd EQ by 4 and adding to 1st EQ to eliminate y
\n" ); document.write( " 8x = -8
\n" ); document.write( " x = -1 and y = 2 \"-1+-+y+=+-3\"
\n" ); document.write( " z = 1 \"-1+%2B+6++%2B+z+=+6\"
\n" ); document.write( "and..
\n" ); document.write( "\"-2%2B+4+-+1+=+1\"
\n" ); document.write( " \n" ); document.write( "
\n" );