document.write( "Question 192037This question is from textbook College Algebra with Modeling and Visualization
\n" ); document.write( ": Solve the system, if possible\r
\n" ); document.write( "\n" ); document.write( "x - 4y + z= 9
\n" ); document.write( " 3y -2z= -7
\n" ); document.write( "-x +z= 0\r
\n" ); document.write( "\n" ); document.write( "Worked on these problems for over 3 hours and got nowhere. plase help
\n" ); document.write( "

Algebra.Com's Answer #144107 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x - 4y + z= 9
\n" ); document.write( "0 + 3y -2z= -7
\n" ); document.write( "-x + 0 +z= 0
\n" ); document.write( "--------------------------
\n" ); document.write( "Add the 1st row to the 3rd to get:
\n" ); document.write( "---
\n" ); document.write( "x - 4y + z = 9
\n" ); document.write( "0 + 3y -2z =-7
\n" ); document.write( "0 + -4y +2z= 9
\n" ); document.write( "-------------------
\n" ); document.write( "Add the 2nd row to the 3rd row to get:
\n" ); document.write( "x - 4y + z = 9
\n" ); document.write( "0 + 3y -2z =-7
\n" ); document.write( "0 + -y + 0= 2
\n" ); document.write( "--------------------
\n" ); document.write( "The 3rd row tells you y = -2
\n" ); document.write( "---
\n" ); document.write( "Substitute into the 2nd row to solve for \"z\":
\n" ); document.write( "3(-2) - 2z = -7
\n" ); document.write( "-6 -2z = -7
\n" ); document.write( "-2z = -1
\n" ); document.write( "z = 1/2
\n" ); document.write( "--------------------------------
\n" ); document.write( "Substitute into the 1st row to solve for \"x\":
\n" ); document.write( "x - 4y + z = 9
\n" ); document.write( "x -4(-2) + (1/2) = 9
\n" ); document.write( "x + 8 1/2 = 9
\n" ); document.write( "x = 1/2
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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