document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117089>Question 117089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not figure out how to do these. Could you please help me? Thank you in advance!\r<BR>\n" );
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document.write( "Solve for x.\r<BR>\n" );
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document.write( "x over 6 - x over 8 = 1\r<BR>\n" );
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document.write( "x over x - 2  MINUS x + 1 over x  EQUALS   8 over x squared - 2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85171 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not exactly sure what the equations are<BR>\n" );
document.write( " from your description, but I'll guess.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+%28%286+-+x%29+%2F+8%29+=+1 ALIGN=MIDDLE  ALT=\"x+%2F+%28%286+-+x%29+%2F+8%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Think of this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2F+%28%286+-+x%29+%2F+8%29%29+%2A+x+=+1 ALIGN=MIDDLE  ALT=\"%281+%2F+%28%286+-+x%29+%2F+8%29%29+%2A+x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2F+%28a%2Fb%29%29+%2A+x+=+1 ALIGN=MIDDLE  ALT=\"%281+%2F+%28a%2Fb%29%29+%2A+x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2F+%28a%2Fb%29+=+b+%2F+a ALIGN=MIDDLE  ALT=\"1+%2F+%28a%2Fb%29+=+b+%2F+a\"   DISABLED_style= \"max-width:90%; height:auto;\" > so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2F+%28%286+-+x%29+%2F+8%29+=+8+%2F+%286+-+x%29 ALIGN=MIDDLE  ALT=\"1+%2F+%28%286+-+x%29+%2F+8%29+=+8+%2F+%286+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now put it back together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288+%2F+%286+-+x%29%29+%2A+x+=+1 ALIGN=MIDDLE  ALT=\"+%288+%2F+%286+-+x%29%29+%2A+x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+-+x ALIGN=MIDDLE  ALT=\"6+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+=+6+-+x ALIGN=MIDDLE  ALT=\"8x+=+6+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+=+6 ALIGN=MIDDLE  ALT=\"9x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F3 ALIGN=MIDDLE  ALT=\"x+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "Now check the answer by plugging it back into the original problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+%28%286+-+x%29+%2F+8%29+=+1 ALIGN=MIDDLE  ALT=\"x+%2F+%28%286+-+x%29+%2F+8%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29+%2F+%28%286+-+%282%2F3%29%29+%2F+8%29+=+1 ALIGN=MIDDLE  ALT=\"%282%2F3%29+%2F+%28%286+-+%282%2F3%29%29+%2F+8%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29+%2F+%28%28%2818%2F3%29+-+%282%2F3%29%29+%2F+8%29+=+1 ALIGN=MIDDLE  ALT=\"%282%2F3%29+%2F+%28%28%2818%2F3%29+-+%282%2F3%29%29+%2F+8%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29+%2F+%28%2816+%2F+3%29%2F8%29+=+1 ALIGN=MIDDLE  ALT=\"%282%2F3%29+%2F+%28%2816+%2F+3%29%2F8%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK, just as before , this is the same as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2F+%28%2816%2F3%29+%2F+8%29%29+%2A++%282%2F3%29+=+1 ALIGN=MIDDLE  ALT=\"%281+%2F+%28%2816%2F3%29+%2F+8%29%29+%2A++%282%2F3%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288+%2F+%2816%2F3%29%29+%2A+%282%2F3%29+=+1 ALIGN=MIDDLE  ALT=\"%288+%2F+%2816%2F3%29%29+%2A+%282%2F3%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F3 ALIGN=MIDDLE  ALT=\"16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%2A+%282%2F3%29+=+16%2F3 ALIGN=MIDDLE  ALT=\"8+%2A+%282%2F3%29+=+16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%2A+2+=+16 ALIGN=MIDDLE  ALT=\"8+%2A+2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+16 ALIGN=MIDDLE  ALT=\"16+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " -----------------<BR>\n" );
document.write( "My guess for the other equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%5E2+-+2x%29 ALIGN=MIDDLE  ALT=\"%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%5E2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The first step is to factor the right side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Now multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x+-+2%29 ALIGN=MIDDLE  ALT=\"x%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+%28x+-+1%29%28x+-+2%29+=+8 ALIGN=MIDDLE  ALT=\"x%5E2+-+%28x+-+1%29%28x+-+2%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x%5E2+%2B+3x+-+2+=+8 ALIGN=MIDDLE  ALT=\"x%5E2+-+x%5E2+%2B+3x+-+2+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2+=+8 ALIGN=MIDDLE  ALT=\"3x+-+2+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+10 ALIGN=MIDDLE  ALT=\"3x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%2F3 ALIGN=MIDDLE  ALT=\"x+=+10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%5E2+-+2x%29 ALIGN=MIDDLE  ALT=\"%28x+%2F+%28x+-+2%29%29+-+%28%28x+-+1%29+%2F+x%29+=+8+%2F+%28x%5E2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810%2F3%29%2F%28%2810%2F3%29+-+2%29%29+-+%28%28%2810%2F3%29+-+1%29%2F%2810%2F3%29%29+=+8+%2F+%28%2810%2F3%29%5E2+-+2%2A%2810%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810%2F3%29%2F%284%2F3%29%29+-+%28%287%2F3%29%2F%2810%2F3%29%29+=+8+%2F+%28%28100%2F9%29+-+%2820%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2F4%29+-+%287%2F10%29+=+8+%2F+%2840%2F9%29 ALIGN=MIDDLE  ALT=\"%2810%2F4%29+-+%287%2F10%29+=+8+%2F+%2840%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F4+-+7%2F10+=+72+%2F+40 ALIGN=MIDDLE  ALT=\"10%2F4+-+7%2F10+=+72+%2F+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+-+28+=+72 ALIGN=MIDDLE  ALT=\"100+-+28+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72+=+72 ALIGN=MIDDLE  ALT=\"72+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );