document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=794785>Question 794785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi!<BR>\n" );
document.write( "How do I solve the linear systems using substitution?<BR>\n" );
document.write( "-2x+4y = 2<BR>\n" );
document.write( "y= -6x +20\r<BR>\n" );
document.write( "\n" );
document.write( "and \r<BR>\n" );
document.write( "\n" );
document.write( "y= -4x+8<BR>\n" );
document.write( "7x - 6y =-17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480726 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "-2x + 4y = 2......1<BR>\n" );
document.write( "y = -6x + 20.......2<BR>\n" );
document.write( "Substitute (-6x + 20) for<BR>\n" );
document.write( "y in Eq(1)<BR>\n" );
document.write( "-2x + 4y = 2......1<BR>\n" );
document.write( "-2x + 4(-6 + 20) = 2<BR>\n" );
document.write( "-2x - 24x + 80 = 2<BR>\n" );
document.write( "Collect like terms;<BR>\n" );
document.write( "-2x - 24x = 2 - 80<BR>\n" );
document.write( "-26x = -78<BR>\n" );
document.write( "   x = 3<BR>\n" );
document.write( "Substitute x = 3 into<BR>\n" );
document.write( "Eq (2)<BR>\n" );
document.write( "y = -6x + 20.......2<BR>\n" );
document.write( "y = -6(3) + 20<BR>\n" );
document.write( "y = -18 + 20<BR>\n" );
document.write( "y = 2<BR>\n" );
document.write( "{3, 2}<BR>\n" );
document.write( "..............<BR>\n" );
document.write( "y = -4x + 8.......1<BR>\n" );
document.write( "7x - 6y = -17.....2<BR>\n" );
document.write( "Substitute (-4x + 8) for<BR>\n" );
document.write( "y in Eq (2)<BR>\n" );
document.write( "7x - 6y = -17.....2<BR>\n" );
document.write( "7x -6(-4x + 8)= -17<BR>\n" );
document.write( "7x + 24x - 48 = -17<BR>\n" );
document.write( "Collect like terms;<BR>\n" );
document.write( "7x + 24x = -17 + 48<BR>\n" );
document.write( "31x = 31<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "Substitute x = 1 into<BR>\n" );
document.write( "Eq(1)<BR>\n" );
document.write( "y = -4x + 8.......1<BR>\n" );
document.write( "y = -4(1) + 8<BR>\n" );
document.write( "y = -4 + 8<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "{1, 4}<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );