document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128663>Question 128663</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131482874/algebrahomeworkh>beginning algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you for taking the time to help me on my lovely algebra headache homework. Your time is very much appreciated! Now on to the equation issue.\r<BR>\n" );
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document.write( "(((2x+1/5y=6))) a.(?,20) b.(9/5,?) I need help in finding the missing coordinates please walk me through this problem in hope I can grasp this linear equation stuff before it spirals out of control. Thank you once again for your time and efforts.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94140 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=94140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B%281%2F5%29y=6 ALIGN=MIDDLE  ALT=\"2x%2B%281%2F5%29y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Look at your equation as a rule for describing a set of points that lie in a straight line -- hence the term, 'linear' equation.  By writing the equation, you have created a relationship between the equation and that set of points such that if you substitute the x- and y-coordinate values from any point that IS on the line back into the equation, you will get a true statement.  On the other hand, if you substitute the x- and y-coordinates from a point that IS NOT on the line, you will get a false statement.\r<BR>\n" );
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document.write( "Let's use a simple example to illustrate the concept.  We'll use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x ALIGN=MIDDLE  ALT=\"y=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The point (1,2) lies on the line, and we know this for sure because if we substitute the number 1 for x and the number 2 for y in the equation, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=2%281%29 ALIGN=MIDDLE  ALT=\"2=2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=2 ALIGN=MIDDLE  ALT=\"2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which we know to be a true statement.  But let's look at the point (5,1).  If we substitute the x-coordinate, 5, and the y-coordinate, 1 into the equation we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=2%285%29 ALIGN=MIDDLE  ALT=\"1=2%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+10 ALIGN=MIDDLE  ALT=\"1+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, clearly a false statement.  So we can say with certainty that the point (5,1) does not lie on the line.\r<BR>\n" );
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document.write( "For your problem, you are faced with having to determine, for part a, what value of x will make the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1%2F5y=6 ALIGN=MIDDLE  ALT=\"2x%2B1%2F5y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > true whenever y has the value 20.  So let's put 20 into the equation and see what happens:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B%281%2F5%29%2820%29=6 ALIGN=MIDDLE  ALT=\"2x%2B%281%2F5%29%2820%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+4+=+6 ALIGN=MIDDLE  ALT=\"2x+%2B+4+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+2 ALIGN=MIDDLE  ALT=\"2x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should be able to tackle part b by yourself now.  Write back if you are still stuck. </SPAN>\n" );
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