document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5477>Question 5477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm not quite sure how to solve this using substitution.<BR>\n" );
document.write( "3x-2y=11<BR>\n" );
document.write( "x-y=4\r<BR>\n" );
document.write( "\n" );
document.write( "Also, does the system have exactly one solution, or more?<BR>\n" );
document.write( "Thanks for helping me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2876 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x-2y=11<BR>\n" );
document.write( "x-y=4<BR>\n" );
document.write( "add y to both sides of the second equation to get<BR>\n" );
document.write( "x=y+4<BR>\n" );
document.write( "then use Y+4 in the first equation instead of x<BR>\n" );
document.write( "3(y+4)-2y=11<BR>\n" );
document.write( "3y+12-2y=11<BR>\n" );
document.write( "y+12=11<BR>\n" );
document.write( "y=-1<BR>\n" );
document.write( "then put -1 back into your equation and solve for x:<BR>\n" );
document.write( "x-y=4<BR>\n" );
document.write( "x-(-1)=4<BR>\n" );
document.write( "x+1=4<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "the solution is (3,-1)\r<BR>\n" );
document.write( "\n" );
document.write( "This will have only one solution because these are two straight lines, and the solution is where these two lines cross.  (straight lines can only cross once). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );