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)![]() ![]() ![]() 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. \n" ); document.write( " \n" ); document.write( " |