document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827550>Question 827550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)\r<BR>\n" );
document.write( "\n" );
document.write( "2x + 2y + 3z = 20<BR>\n" );
document.write( "3x + y - z = 0<BR>\n" );
document.write( "x + y + 2z = 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498744 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=498744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "2x + 2y + 3z = 20<BR>\n" );
document.write( "3x + y - z = 0<BR>\n" );
document.write( "x + y + 2z = 12<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:<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "z = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the system is INDEPENDENT.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "2 2 3<BR>\n" );
document.write( "3 1 -1<BR>\n" );
document.write( "1 1 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "-1.5 0.5 2.5<BR>\n" );
document.write( "3.5 -0.5 -5.5<BR>\n" );
document.write( "-1 0 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = -2<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" );