document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119333>Question 119333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to graph this equation:<BR>\n" );
document.write( "x+6=-5 \r<BR>\n" );
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document.write( "it's supposed to be standard form like <BR>\n" );
document.write( "Ax+By=C<BR>\n" );
document.write( "My teacher said to use the numbers -2 -1 0 1 2 3 <BR>\n" );
document.write( "but they don't work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87426 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=87426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's go ahead and solve this for x first:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=-5 ALIGN=MIDDLE  ALT=\"x%2B6=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -6 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-11 ALIGN=MIDDLE  ALT=\"x=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's put that in standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy=C ALIGN=MIDDLE  ALT=\"Ax%2BBy=C\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The A and C coefficients are easy, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1 ALIGN=MIDDLE  ALT=\"A=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-11 ALIGN=MIDDLE  ALT=\"C=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  But there is no y term, so now what do we do?  Another way to say there is no y term is to say there are zero ys in the equation, which means we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=0 ALIGN=MIDDLE  ALT=\"B=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence, standard form would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%2B0y=-11 ALIGN=MIDDLE  ALT=\"1x%2B0y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since none of the numbers in the set {-2,-1,0,1,2,3} make the equation true if you substitute them for x, substitute them for y instead.  Since the coefficient on the y term is 0, you get the result <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-11 ALIGN=MIDDLE  ALT=\"x=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > no matter what value you choose for y.\r<BR>\n" );
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document.write( "Your table of values would then be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%287%2C2%2C%0D%0Ax%2Cy%2C%0D%0A-11%2C-2%2C%0D%0A-11%2C-1%2C%0D%0A-11%2C0%2C%0D%0A-11%2C1%2C%0D%0A-11%2C2%2C%0D%0A-11%2C3%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Giving you a set of points to plot.  You should end up with a vertical line that crosses the x-axis at, yep, you guessed it, (-11,0)\r<BR>\n" );
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document.write( "Hope that helps,<BR>\n" );
document.write( "John </SPAN>\n" );
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