document.write( "Question 193815This question is from textbook Basic Technical Mathematics
\n" ); document.write( ": Dear Tutor,
\n" ); document.write( "I am getting so many different answers with this...Please help!\r
\n" ); document.write( "\n" ); document.write( "Direction is solve the system of equations
\n" ); document.write( "Solve for x only
\n" ); document.write( "4x + 2y + z = 24
\n" ); document.write( "2x - 3y - z = 2
\n" ); document.write( "5x + y + 2z = 21 \n" ); document.write( "

Algebra.Com's Answer #145508 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x only
\n" ); document.write( "4x + 2y + z = 24
\n" ); document.write( "2x - 3y - z = 2
\n" ); document.write( "5x + y + 2z = 21
\n" ); document.write( "-----------------
\n" ); document.write( "Eliminate z
\n" ); document.write( "Add the 1st and 2nd eqn
\n" ); document.write( "4x + 2y + z = 24
\n" ); document.write( "2x - 3y - z = 2
\n" ); document.write( "----------------
\n" ); document.write( "6x - 1y = 26 eqn A
\n" ); document.write( "Multiply the 2nd eqn by 2, then add the 3rd.
\n" ); document.write( "4x - 6y -2z = 4
\n" ); document.write( "5x + y + 2z = 21
\n" ); document.write( "----------------
\n" ); document.write( "9x - 5y = 25 eqn B
\n" ); document.write( "---------------
\n" ); document.write( "Now you have 2 eqns in 2 unknowns, not 3.
\n" ); document.write( "Multiply eqn A by 5 and subtract eqn B.
\n" ); document.write( "30x - 5y = 130 eqn A times 5
\n" ); document.write( "9x - 5y = 25 eqn B
\n" ); document.write( "-------------
\n" ); document.write( "21x = 105
\n" ); document.write( "x = 5\r
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