document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5472>Question 5472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to know how to graph <BR>\n" );
document.write( "2x-7y=3<BR>\n" );
document.write( "5x-4y=-6\r<BR>\n" );
document.write( "\n" );
document.write( "And I also need to know how many solutions it has.<BR>\n" );
document.write( "Could you please help me? thanks!<BR>\n" );
document.write( "             </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2872 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=2872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  the easiest way is to set it up in slope intercept form (y=mx+b)and then plug in values for x to get a y - you then have a point to graph:\r<BR>\n" );
document.write( "\n" );
document.write( "2x-7y=3<BR>\n" );
document.write( "subtract 2x from both sides of the equation<BR>\n" );
document.write( "-7y=-2x+3<BR>\n" );
document.write( "Divide both sides by -7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282x%2F7%29%2B%283%2F7%29 ALIGN=MIDDLE  ALT=\"y=%282x%2F7%29%2B%283%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The slope to the graph is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it crosses the y axis at (0,3/7)<BR>\n" );
document.write( "by putting in 1 for x, we get another point (1,5/7)  Draw a line that crosses both of these points.\r<BR>\n" );
document.write( "\n" );
document.write( "Do the same to the other equation<BR>\n" );
document.write( "5x-4y=-6<BR>\n" );
document.write( "subtract 5x from both sides:<BR>\n" );
document.write( "-4y=-5x-6<BR>\n" );
document.write( "divide both sides by -4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285x%2F4%29%2B%286%2F4%29 ALIGN=MIDDLE  ALT=\"y=%285x%2F4%29%2B%286%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we have the point (0,6/4), get a second point by substituting 1 for x.. (1,11/4) draw a line that extends through these two points.  \r<BR>\n" );
document.write( "\n" );
document.write( "The solution to this system is where both lines intersect:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-3%2C+3%2C+-3%2C+3%2C+2x%2F7%2B3%2F7%2C+5x%2F4%2B6%2F4+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+200%2C+-3%2C+3%2C+-3%2C+3%2C+2x%2F7%2B3%2F7%2C+5x%2F4%2B6%2F4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );