document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173478>Question 173478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/(2X-4)- 2/(y+1)=0      and 1/(x-3)- 1/(y+4)=0<BR>\n" );
document.write( "Solve using elimination: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128614 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/(2X-4)- 2/(y+1)=0 and 1/(x-3)- 1/(y+4)=0<BR>\n" );
document.write( "Solve using elimination:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282X-4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282X-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"2%2F%28%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "Multiply equation by (2x-4)(y+1) to get rid of the denominators, results<BR>\n" );
document.write( "(y+1) - 2(2x-4) = 0<BR>\n" );
document.write( "y + 1 - 4x + 8 = 0<BR>\n" );
document.write( "-4x + y + 9 = 0<BR>\n" );
document.write( "-4x + y = -9<BR>\n" );
document.write( "4x - y = 9; multiplied by -1<BR>\n" );
document.write( " and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28y%2B4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28y%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "Multiply by (x-3)(y+4), results:<BR>\n" );
document.write( "(y + 4) - (x - 3) = 0<BR>\n" );
document.write( "y + 4 - x + 3 = 0<BR>\n" );
document.write( "-x + y + 7 = 0<BR>\n" );
document.write( "-x + y = -7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Add the two equations<BR>\n" );
document.write( "4x - y = 9<BR>\n" );
document.write( "-x + y = -7; <BR>\n" );
document.write( "---------------adding eliminates y, find x<BR>\n" );
document.write( "3x = 2<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the last equation to find y:<BR>\n" );
document.write( "-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + y = -7<BR>\n" );
document.write( "y = -7 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19%2F3 ALIGN=MIDDLE  ALT=\"-19%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in the 2nd original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%282%2F3%29-3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%282%2F3%29-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%28-19%2F3%29%2B4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%28-19%2F3%29%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%282%2F3%29-%289%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%282%2F3%29-%289%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28%28-19%2F3%29%2B%2812%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28%28-19%2F3%29%2B%2812%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-7%2F3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-7%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-7%2F3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-7%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F7 ALIGN=MIDDLE  ALT=\"-3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you check it in the 1st original equation </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );