document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207721>Question 207721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5,1 is a solution to the equation 2x-3y=7. What does this mean? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157110 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=157110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you're given the point (5,1), this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So simply plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=7 ALIGN=MIDDLE  ALT=\"2x-3y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If you end up with an identity, then that will confirm that (5,1) is a solution. If (5,1) is a solution, then that means that the point (5,1) lies on the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=7 ALIGN=MIDDLE  ALT=\"2x-3y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (that's only if it's a solution).\r<BR>\n" );
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document.write( "Note: an identity is an equation that is true for ALL values of 'x'. A simple example would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (0 is always equal to itself). So if you get some number equal to itself, then you have an identity. </SPAN>\n" );
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