document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37273>Question 37273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by substitution.\r<BR>\n" );
document.write( "\n" );
document.write( "4x – 12y = 5<BR>\n" );
document.write( "-x + 3y = -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23013 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We start with<BR>\n" );
document.write( "4x – 12y = 5<BR>\n" );
document.write( "-x + 3y = -1<BR>\n" );
document.write( "Let us solve the second equation for x and substitute its value into the first equation.  Here goes:<BR>\n" );
document.write( "3y = x - 1  and<BR>\n" );
document.write( "x = 3y + 1<BR>\n" );
document.write( "Now substitute<BR>\n" );
document.write( "4(3y + 1) - 12y = 5<BR>\n" );
document.write( "12y + 4 - 12y = 5<BR>\n" );
document.write( "4 = 5<BR>\n" );
document.write( "Since this is an impossibility, we know there is no solution.  That also means our two lines are parallel and the system is said to be inconsistent. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );