document.write( "Question 1025532: Please help me and show steps. I never been good doing these.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Given the system of equations
\n" ); document.write( "2x-3y-9z=-5
\n" ); document.write( "x+3z=5
\n" ); document.write( "-3x+y-4z=-10\r
\n" ); document.write( "\n" ); document.write( " (a) determine whether the system is inconsistent or dependent;
\n" ); document.write( " Your answer is (input inconsistent or dependent)
\n" ); document.write( " (b) if your answer is dependent in (a), find the complete solution. Write x
\n" ); document.write( " and y as functions of z.
\n" ); document.write( "
\n" ); document.write( "x=\r
\n" ); document.write( "\n" ); document.write( "y=
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #640894 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
2x-3y-9z=-5
\n" ); document.write( " x+3z=5
\n" ); document.write( " -3x+y-4z=-10
\n" ); document.write( "--------------
\n" ); document.write( "The 2nd eqn has no y term, so eliminate y using the 1st and 3rd eqns.
\n" ); document.write( "2x-3y-9z=-5
\n" ); document.write( "-3x+y-4z=-10 times 3 --> -9x+3y-12z = -30
\n" ); document.write( "-----
\n" ); document.write( "2x -3y-9z=-5
\n" ); document.write( "-9x+3y-12z = -30
\n" ); document.write( "------------------- Add
\n" ); document.write( "-7x - 21z = -35
\n" ); document.write( "Divide by -7
\n" ); document.write( "x + 3z = 5
\n" ); document.write( "That's the same as eqn 2 --> dependent, no unique solution
\n" ); document.write( "----
\n" ); document.write( " (b) if your answer is dependent in (a), find the complete solution. Write x
\n" ); document.write( " and y as functions of z.
\n" ); document.write( "----
\n" ); document.write( "x = 5 - 3z
\n" ); document.write( "y = 5 - 5z
\n" ); document.write( "
\n" );