document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578060>Question 578060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the X and Y intercepts of the two equations.  4x-2y=6 and x-y/2=-1.5.  I have already found the  X and Y intercepts of each but now I need to find the \"solution\" to the problem.  I'm very confused on how to find the solution.  Here is what I have so far:<BR>\n" );
document.write( "For equation 4x-2y=6<BR>\n" );
document.write( "The X intercept is 3/2<BR>\n" );
document.write( "The Y intercept is -3\r<BR>\n" );
document.write( "\n" );
document.write( "For equation x-y/2=-1.5<BR>\n" );
document.write( "The X intercept is -1.5<BR>\n" );
document.write( "The Y intercept is 3\r<BR>\n" );
document.write( "\n" );
document.write( "I'm also needing to graph these.  I can graph them with no problems, it's just finding the \"solution\" that is throwing me off.  I'm not quite sure what they mean by it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370493 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=370493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The \"solution\" is the point  ( x1,y1 )  that satisfies<BR>\n" );
document.write( "both equations. It is the intersection of the <BR>\n" );
document.write( "2 straight lines. As long as they are straight lines, they<BR>\n" );
document.write( "can only intersect at 1 point.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+-+2y+=+6+ ALIGN=MIDDLE  ALT=\"+4x+-+2y+=+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=+x+-+%281%2F2%29%2Ay+=+-%283%2F2%29+ ALIGN=MIDDLE  ALT=\"+x+-+%281%2F2%29%2Ay+=+-%283%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+y+=+-3+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+y+=+3+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Because these lines only differ by a constant,<BR>\n" );
document.write( "they are parallel lines, and can have no <BR>\n" );
document.write( "intersection, and therefore no solution<BR>\n" );
document.write( "Here's a plot of the lines:<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+2x+%2B+3%2C+2x+-+3+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B+3%2C+2x+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );