document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828645>Question 828645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive odd integers is at least 36. What are the integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499424 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=499424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "y = x + 2<BR>\n" );
document.write( "x + y = 36<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 - y = -2<BR>\n" );
document.write( "x + y = 36<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 = 17<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now by elimination:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x - y = -2<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add the system:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x = 34<BR>\n" );
document.write( "x = 17<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x + 2<BR>\n" );
document.write( "y = 17 + 2<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by elimination method:<BR>\n" );
document.write( "x = 17<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now by substitution:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x + 2<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + (x + 2) = 36<BR>\n" );
document.write( "2x + 2 = 36<BR>\n" );
document.write( "2x = 34<BR>\n" );
document.write( "x = 17<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x + 2<BR>\n" );
document.write( "y = 17 + 2<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by substitution method:<BR>\n" );
document.write( "x = 17<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "all three 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" );