document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149777>Question 149777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations by the substitution method.<BR>\n" );
document.write( "5x + 4y = 14<BR>\n" );
document.write( "15x - 2y = 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109884 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations by the substitution method.<BR>\n" );
document.write( "5x + 4y = 14<BR>\n" );
document.write( "15x - 2y = 7<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "-2y = 7-15x (from 2nd eqn)<BR>\n" );
document.write( "4y = 30x-14<BR>\n" );
document.write( "Sub into 1st eqn<BR>\n" );
document.write( "5x + (30x-14) = 14<BR>\n" );
document.write( "35x - 14 = 14<BR>\n" );
document.write( "35x = 28<BR>\n" );
document.write( "x = 28/35 = 4/5<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Sub into either, I'll use eqn 1<BR>\n" );
document.write( "5*(4/5) + 4y = 14<BR>\n" );
document.write( "4 + 4y = 14<BR>\n" );
document.write( "4y = 10<BR>\n" );
document.write( "y = 10/4 = 5/2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );