document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608019>Question 608019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y = 1/2x + 1<BR>\n" );
document.write( "2y - x = 6 \r<BR>\n" );
document.write( "\n" );
document.write( "How many solutions does this system have?(:<BR>\n" );
document.write( "-none, one, or ifinite? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383012 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=383012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Get the equations into the same form<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F2%29%2Ax+%2B+1+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F2%29%2Ax+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y-+x+=+6+ ALIGN=MIDDLE  ALT=\"+2y-+x+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+x+%2B+6+ ALIGN=MIDDLE  ALT=\"+2y+=+x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F2%29%2Ax+%2B+3+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F2%29%2Ax+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "These are straight lines with the same slope which<BR>\n" );
document.write( "only differ by a constant.<BR>\n" );
document.write( "So, they are parallel lines and have no solution<BR>\n" );
document.write( "since they don't intersect<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Here's a plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F2%29%2Ax+%2B+1%2C+%281%2F2%29%2Ax+%2B+3+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );