document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=820827>Question 820827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x + 2y = 1<BR>\n" );
document.write( "7x - 5y = 26<BR>\n" );
document.write( "         I need to solve using substitution,  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494068 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=494068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x + 2y = 1<BR>\n" );
document.write( "7x - 5y = 26<BR>\n" );
document.write( "---<BR>\n" );
document.write( "as a check on the substitution method, let's first solve the given system of linear equations by using matrices:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x= 3<BR>\n" );
document.write( "y= -1<BR>\n" );
document.write( "NOTE: the above solver uses the matrix method to solve the system.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now let's solve by substitution:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + 2y = 1<BR>\n" );
document.write( "x = 1 - 2y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "7x - 5y = 26<BR>\n" );
document.write( "7(1 - 2y) - 5y = 26<BR>\n" );
document.write( "7 - 14y - 5y = 26<BR>\n" );
document.write( "7 - 19y = 26<BR>\n" );
document.write( "19y = -19<BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 1 - 2y<BR>\n" );
document.write( "x = 1 - 2(-1)<BR>\n" );
document.write( "x = 1 + 2<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x= 3<BR>\n" );
document.write( "y= -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the matrix method and the substitution method agree, so we must have the correct answer !<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" );