document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293351>Question 293351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving the following equation for Y:\r<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 #211795 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=211795\">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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29=A%2F%28C%2AX%29 ALIGN=MIDDLE  ALT=\"A%2F%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29=A%2F%28C%2AX%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides of this equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29 ALIGN=MIDDLE  ALT=\"%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28A+%2A+%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29%29%2F%28C%2AX%29%29 ALIGN=MIDDLE  ALT=\"A+=+%28A+%2A+%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29%29%2F%28C%2AX%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides of this equation by C*X and divide both sides of this equation by A to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2AX+=+%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29%29 ALIGN=MIDDLE  ALT=\"C%2AX+=+%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify by multiplying the right side of the equation by the factor of Y to remove the parentheses to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2AX+=+A+%2B+C%2AY+%2B+700000+-+115000%2AY ALIGN=MIDDLE  ALT=\"C%2AX+=+A+%2B+C%2AY+%2B+700000+-+115000%2AY\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract A and subtract 700000 from both sides of this equation to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2AX+-+A+-+700000+=+C%2AY+-+115000%2AY ALIGN=MIDDLE  ALT=\"C%2AX+-+A+-+700000+=+C%2AY+-+115000%2AY\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out the Y from the right side of the equation to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2AX+-+A+-+700000+=+Y%2A%28C-115000%29 ALIGN=MIDDLE  ALT=\"C%2AX+-+A+-+700000+=+Y%2A%28C-115000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides of this equation by (C-115000) to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%2AX+-+A+-+700000%29%2F%28C-115000%29+=+Y ALIGN=MIDDLE  ALT=\"%28C%2AX+-+A+-+700000%29%2F%28C-115000%29+=+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is the same as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+%28C%2AX+-+A+-+700000%29%2F%28C-115000%29 ALIGN=MIDDLE  ALT=\"Y+=+%28C%2AX+-+A+-+700000%29%2F%28C-115000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we did this correctly, your original equation and your final equation should yield the same answer.\r<BR>\n" );
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document.write( "I tested by letting A = 5, C = 10, X = 15.\r<BR>\n" );
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document.write( "I plugged those values into the final equation as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+%28C%2AX+-+A+-+700000%29%2F%28C-115000%29 ALIGN=MIDDLE  ALT=\"Y+=+%28C%2AX+-+A+-+700000%29%2F%28C-115000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+%2810%2A15+-+5+-+700000%29%2F%2810-115000%29 ALIGN=MIDDLE  ALT=\"Y+=+%2810%2A15+-+5+-+700000%29%2F%2810-115000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+%28150-5-700000%29%2F%2810-115000%29 ALIGN=MIDDLE  ALT=\"Y+=+%28150-5-700000%29%2F%2810-115000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+%28-699855%29%2F%28-114990%29 ALIGN=MIDDLE  ALT=\"Y+=+%28-699855%29%2F%28-114990%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "Y = 6.086224889\r<BR>\n" );
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document.write( "I then plugged all these values into the original equation to see if it was true.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29=A%2F%28C%2AX%29 ALIGN=MIDDLE  ALT=\"A%2F%28%28%28A%2FY%29%2BC%2B%28700000%2FY%29-115000%29%2AY%29=A%2F%28C%2AX%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28%28%285%2F6.086224889%29%2B10%2B%28700000%2F6.086224889%29-115000%29%2A6.086224889%29=5%2F%2810%2A15%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( ".033333334 = .033333333 which is true confirming that the translation of the equation by solving for Y is good.\r<BR>\n" );
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document.write( "There's a slight error factor that's probably due to rounding.\r<BR>\n" );
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document.write( "I'd be surprised if it's anything other than that.\r<BR>\n" );
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