document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58032>Question 58032</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me on this problem?\r<BR>\n" );
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document.write( " I have to solve the following systems by graphing:\r<BR>\n" );
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document.write( "   3x - 6y = 9<BR>\n" );
document.write( "    x - 2y = 3\r<BR>\n" );
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document.write( "Can someone help with the graph since I have to send this on the computer and can't use paper.<BR>\n" );
document.write( "Thanks so much,<BR>\n" );
document.write( " Sher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39692 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=39692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Sher,<BR>\n" );
document.write( "This is a dependent system.  If you tried to eliminate either variable you'd eliminate them both and get 0=0.  I told you about that on the last question I answered.  That means that graphically these to equations are represented by the same line.  I didn't garph the last system, I can add a graph to that answer if you need it.  Let me know.<BR>\n" );
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document.write( "L1) 3x - 6y = 9<BR>\n" );
document.write( "L2)  x - 2y = 3<BR>\n" );
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document.write( "For L1, let x=0 and solve for y:<BR>\n" );
document.write( "3(0)-6y=9<BR>\n" );
document.write( "-6y=9<BR>\n" );
document.write( "-6y/-6=9/-6<BR>\n" );
document.write( "y=-3/2<BR>\n" );
document.write( "Plot (0,-3/2)<BR>\n" );
document.write( "Now, let y=0 and solve for x:<BR>\n" );
document.write( "3x-6(0)=9<BR>\n" );
document.write( "3x=9<BR>\n" );
document.write( "3x/3=9/3<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Plot (3,0)<BR>\n" );
document.write( "Connect the points and you have this line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3x%2B9%29%2F-6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3x%2B9%29%2F-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For L2), let x=0 and solve for y:<BR>\n" );
document.write( "(0)-2y=3<BR>\n" );
document.write( "-2y=3<BR>\n" );
document.write( "-2y/-2=3/-2<BR>\n" );
document.write( "y=-3/2<BR>\n" );
document.write( "Plot (0,-3/2)  Notice that it's right on top of the other line's y-intercept.<BR>\n" );
document.write( "Let y=0 and solve for x:<BR>\n" );
document.write( "x-2(0)=3<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Plot (3,0)  Notice that it's right on top of L1)'s x-intercept.<BR>\n" );
document.write( "Connect the points and you have a line right on top of another line.  <BR>\n" );
document.write( "The graph below has both lines graphed, but you can only see one because graphically they are the same line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3x%2B9%29%2F-6%2C%28-x%2B3%29%2F-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3x%2B9%29%2F-6%2C%28-x%2B3%29%2F-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating, Sher!!! </SPAN>\n" );
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