document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131815>Question 131815</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937760/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solving Linear Equations:<BR>\n" );
document.write( "Use linear combinations to solve the system of linear equations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "t + r = 1<BR>\n" );
document.write( "2r - t = 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96241 by </B><A HREF=/tutors/aboutme.mpl?userid=ntnk><B>ntnk(54)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ntnk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In any equation, solve for one variable in terms of the other and substitute into the other equation. \r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+r+=+1 ALIGN=MIDDLE  ALT=\"t+%2B+r+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1+-+t ALIGN=MIDDLE  ALT=\"r+=+1+-+t\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r+-+t+=+2 ALIGN=MIDDLE  ALT=\"2r+-+t+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1+-+t ALIGN=MIDDLE  ALT=\"r+=+1+-+t\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%281-t%29+-+t+=+2 ALIGN=MIDDLE  ALT=\"2%281-t%29+-+t+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Distributing: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-2t+-+t+=+2 ALIGN=MIDDLE  ALT=\"2-2t+-+t+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Combining like terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+-+3t+=+2 ALIGN=MIDDLE  ALT=\"2+-+3t+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Subtracting 2 from both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3t+=+0 ALIGN=MIDDLE  ALT=\"-3t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Dividing both sides by -3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "Substitute this back into either of the original equations to find 'r'. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+r+=+1 ALIGN=MIDDLE  ALT=\"t+%2B+r+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%2B+r+=+1 ALIGN=MIDDLE  ALT=\"0+%2B+r+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1 ALIGN=MIDDLE  ALT=\"r+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );