document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145018>Question 145018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> express each equation in slope-intercept form. then determin, without silving the system, whether the system of equations has exactly one solution, none, or an infinite number  <BR>\n" );
document.write( " 4x+6y=26 <BR>\n" );
document.write( "                -6x-9y=-39 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105725 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> put your equations in slope-intercept form by solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that is, arrange them so that you have them in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Make certain that you have reduced all fractions to the lowest terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Once you have done that you will have two equations:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%5B1%5Dx%2Bb%5B1%5D ALIGN=MIDDLE  ALT=\"y=m%5B1%5Dx%2Bb%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%5B2%5Dx%2Bb%5B2%5D ALIGN=MIDDLE  ALT=\"y=m%5B2%5Dx%2Bb%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%3C%3Em%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D%3C%3Em%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the lines intersect and there is exactly one element in the solution set for the system.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D%3C%3Eb%5B2%5D ALIGN=MIDDLE  ALT=\"b%5B1%5D%3C%3Eb%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the lines are different but parallel so the solution set to the system is empty.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=b%5B2%5D ALIGN=MIDDLE  ALT=\"b%5B1%5D=b%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the lines are the same line and there are an infinite number of elements in the solution set for the system. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );