document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746844>Question 746844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don;t get this graphing thing at all! I have to solve the system of linear equations by graphing:<BR>\n" );
document.write( "3x-y=0<BR>\n" );
document.write( "6x+y=9<BR>\n" );
document.write( "Can someone help me? or point towards a site that will graph it and show me how? I have a test on this on Sunday and have been working on it all week. I don;t get it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454663 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the system of linear equations by graphing:<BR>\n" );
document.write( "3x-y=0<BR>\n" );
document.write( "6x+y=9<BR>\n" );
document.write( "This is not that hard, we will take one equation at a time, rearrange<BR>\n" );
document.write( "equation to the slope/intercept form which is y = mx + b<BR>\n" );
document.write( "3x - y = 0<BR>\n" );
document.write( "Subtract 3x from both sides<BR>\n" );
document.write( "-y = -3x + 0<BR>\n" );
document.write( "y has to be positive, multiply both sides by -1, we can ignore 0, obviously<BR>\n" );
document.write( "y = 3x is the equation we can graph, Choose at least two value for x and find y<BR>\n" );
document.write( "a table<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "-------; Calculation of y using the x values<BR>\n" );
document.write( "-3 |-9; (y = 3(-3); y=-9<BR>\n" );
document.write( "-1 |-3; (y = 3(-1); y=-3<BR>\n" );
document.write( "+2 |+6; (y = 3(2); y= 6<BR>\n" );
document.write( "Plot these x,y pair, the graph is the straight line thru these points<BR>\n" );
document.write( "looks like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-20%2C+20%2C+3x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-20%2C+20%2C+3x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Do the same thing with the 2nd equation<BR>\n" );
document.write( "6x + y = 0<BR>\n" );
document.write( "subtract 6x from both sides<BR>\n" );
document.write( "y = -6x<BR>\n" );
document.write( "Chose 3 values for these, can be same if you wish<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "-3 |+18; (y = -6(-3); y=+18<BR>\n" );
document.write( "-1 |+6; (y = -6(-1); y=+6<BR>\n" );
document.write( "+2 |-12; (y = -6(2); y= -12<BR>\n" );
document.write( "Plot these x,y pair, the graph is the straight line thru these points<BR>\n" );
document.write( "looks like this, (added it to the graph made of the first equation)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-20%2C+20%2C+3x%2C+-6x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-20%2C+20%2C+3x%2C+-6x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "The solution is the point of intersection, x,y pairs are 0,0 for both equations at this point.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Did this make sense to you? Any questions?  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );