document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825592>Question 825592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 13a+5b=-11<BR>\n" );
document.write( "13a+11b=7<BR>\n" );
document.write( " how do you do this problem in elimination? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497417 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=497417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "13a+5b=-11<BR>\n" );
document.write( "13a+11b=7<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( "13x + 5y = -11<BR>\n" );
document.write( "13x + 11y = 7<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 = a = -2<BR>\n" );
document.write( "y = b = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "13 5<BR>\n" );
document.write( "13 11<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "0.14102564 -0.064102564<BR>\n" );
document.write( "-0.16666667 0.16666667<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 78<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now solution by elimination method:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(13a + 5b = -11)-1<BR>\n" );
document.write( "13a + 11b = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-13a - 5b = 11<BR>\n" );
document.write( "13a + 11b = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add the system:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "6b = 18<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "13a + 5b = -11<BR>\n" );
document.write( "13a + 5(3) = -11<BR>\n" );
document.write( "13a = -11 - 15<BR>\n" );
document.write( "13a = -26<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by elimination method:<BR>\n" );
document.write( "x = a = -2<BR>\n" );
document.write( "y = b = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "solution by matrix method agrees with solution by elimination method.<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 4-equations 4-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );