document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907753>Question 907753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 4+3÷2n=-7 graphed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550558 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "4 + (3/(2*n)) = -7\r<BR>\n" );
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document.write( "subtract 4 from both sides of the equation to get:\r<BR>\n" );
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document.write( "3/(2*n) = -11\r<BR>\n" );
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document.write( "multiply both sides of the equation by (2*n) to get:\r<BR>\n" );
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document.write( "3 = -11 * (2*n)\r<BR>\n" );
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document.write( "divide both sides of the equation by -11 to get:\r<BR>\n" );
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document.write( "-3/11 = 2*n\r<BR>\n" );
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document.write( "divide both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "n = -3/22\r<BR>\n" );
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document.write( "that's equivalent to n = -.136 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "that's the solution to the equation.\r<BR>\n" );
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document.write( "n or x = -.136 will come up later on the graph so keep it in mind.\r<BR>\n" );
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document.write( "for graphing, you are not looking for an individual solution, but you are looking to see what the equation looks like for all possible values of n.\r<BR>\n" );
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document.write( "to graph it using graphing software, you need to change n to x because most graphing software graphs x on the horizontal axis and y on the vertical axis.\r<BR>\n" );
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document.write( "we'll start again and solve the equation for graphing.\r<BR>\n" );
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document.write( "start with 4 + (3/(2*n)) = -7\r<BR>\n" );
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document.write( "replace n with x to satisfy the graphing software.\r<BR>\n" );
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document.write( "you get 4 + 3/(2x) = -7\r<BR>\n" );
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document.write( "note that 2*x or 2*n is the same as 2x or 2n.\r<BR>\n" );
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document.write( "now you want to get everything on one side of the equation.\r<BR>\n" );
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document.write( "add 7 to both sides of the equation to get 4 + 3/(2x) + 7 = 0\r<BR>\n" );
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document.write( "combine like terms to get 11 + 3/(2x) = 0\r<BR>\n" );
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document.write( "rearrange the terms to get 3/(2x) + 11 = 0\r<BR>\n" );
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document.write( "this is a specific solution that we solved for above that got us x = -3/22  which is equivalent to x = -.136 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "for graphing purposes, however, replace 0 with y and your equation becomes 3/(2x) + 11 = y which can also be shown as, and will be graphed as, y = 3/(2x) + 11.\r<BR>\n" );
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document.write( "so your equation for graphing is y = 3/(2x) + 11\r<BR>\n" );
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document.write( "the graph is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/093001.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "now back to that specific solution of n = -3/22 which was changed to x = -3/22 to satisfy the requirements of the graphing software and which had a decimal equivalent of x = -.136 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "look on the graph and you will see that, when y = 0, x = -.136.\r<BR>\n" );
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document.write( "that's your specific solution that we solved for when we had the equation 3/(2x) = 11 = 0 before we replace 0 with y.\r<BR>\n" );
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document.write( "what the grpah says is that, when y = 0, s = -3/22 which is shown as x = -.136.\r<BR>\n" );
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document.write( "that equation can be solved again for x as shown below:\r<BR>\n" );
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document.write( "start with 3/(2x) + 11 = 0<BR>\n" );
document.write( "subtract 11 from both sides of the equation to get 3/(2x) = -11<BR>\n" );
document.write( "divide both sides of the equation by -11 and multiply both sides of the equation by 2 to get:<BR>\n" );
document.write( "3/-11 = 2x<BR>\n" );
document.write( "divide both sides of the equation by 2 to get:<BR>\n" );
document.write( "3/-22 = x<BR>\n" );
document.write( "this can also be shown as x = -3/22 which has the decimal equivalent of x = -.136 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "the graph and the specific solution agree.\r<BR>\n" );
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