document.write( "Question 1012903: Solve the system of equations
\n" );
document.write( "3x+4y+z=7
\n" );
document.write( " 2y+z=3
\n" );
document.write( "-5x+3y+8z=-31 \n" );
document.write( "
Algebra.Com's Answer #629036 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 3x+4y+z=7 \n" ); document.write( " 2y+z=3 --> z = -2y+3 \n" ); document.write( "-5x+3y+8z=-31 \n" ); document.write( "------------- \n" ); document.write( "Sub for z in the 1st & 3rd equations. \n" ); document.write( "3x+4y+z=7 --> 3x + 4y - 2y + 3 = 7 --> 3x + 2y = 4 Eqn A \n" ); document.write( "---- \n" ); document.write( "-5x+3y+8z=-31 --> -5x + 3y - 16y + 24 = -31 --> -5x - 13y = -55 Eqn B \n" ); document.write( "========= \n" ); document.write( "3x + 2y = 4 Eqn A \n" ); document.write( "-5x - 13y = -55 Eqn B \n" ); document.write( "----- \n" ); document.write( "15x + 10y = 20 Eqn A times 5 \n" ); document.write( "-15x - 39y = -165 Eqn B times 3 \n" ); document.write( "----------------------------------- Add \n" ); document.write( "-29y = -145 \n" ); document.write( "y = 5 \n" ); document.write( "---- \n" ); document.write( "z = -2y+3 \n" ); document.write( "Sub for y & z in Eqn A or B to find x.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |