document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828828>Question 828828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x,y, and z in the system of equations below. Explain your steps!!!???\r<BR>\n" );
document.write( "\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "3z+x-2y=-7<BR>\n" );
document.write( "5y=10-2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499531 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "3z+x-2y=-7<BR>\n" );
document.write( "5y=10-2x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "x-2y+3z=-7<BR>\n" );
document.write( "2x+5y=10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by matrix method:<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "z = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now elimination method:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "(x-2y+3z=-7)*-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "-x+2y-3z=7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add subsystem:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "9y=36<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x+7y+3z=29)*-2<BR>\n" );
document.write( "2x+5y=10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-2x-14(4)-6z=-58<BR>\n" );
document.write( "2x+5(4)=10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add subsystem:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-36 - 6z =-48<BR>\n" );
document.write( "-6z =-12<BR>\n" );
document.write( "z = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x+7y+3z=29<BR>\n" );
document.write( "x=29-7y-3z<BR>\n" );
document.write( "x=29-7(4)-3(2)<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by elimination method:<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "z = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "both methods agree !<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );