document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151299>Question 151299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you help solve:\r<BR>\n" );
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document.write( "8/x-5/y=51/14 6/x+(-10)/y=-(29/7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111201 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111201\">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=8%2Fx-5%2Fy=51%2F14 ALIGN=MIDDLE  ALT=\"8%2Fx-5%2Fy=51%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14xy%288%2Fcross%28x%29-5%2Fcross%28y%29%29=14xy%2851%2Fcross%2814%29%29 ALIGN=MIDDLE  ALT=\"14xy%288%2Fcross%28x%29-5%2Fcross%28y%29%29=14xy%2851%2Fcross%2814%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14xy ALIGN=MIDDLE  ALT=\"14xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will eliminate the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112y-70x=51xy ALIGN=MIDDLE  ALT=\"112y-70x=51xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-70x=51xy-112y ALIGN=MIDDLE  ALT=\"-70x=51xy-112y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112y ALIGN=MIDDLE  ALT=\"112y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-70x=y%2851x-112%29 ALIGN=MIDDLE  ALT=\"-70x=y%2851x-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-70x%29%2F%2851x-112%29=y ALIGN=MIDDLE  ALT=\"%28-70x%29%2F%2851x-112%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51x-112 ALIGN=MIDDLE  ALT=\"51x-112\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So after isolating y of the first equation, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-70x%29%2F%2851x-112%29 ALIGN=MIDDLE  ALT=\"y=%28-70x%29%2F%2851x-112%29\"   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=6%2Fx%2B%28-10%29%2Fy=-%2829%2F7%29 ALIGN=MIDDLE  ALT=\"6%2Fx%2B%28-10%29%2Fy=-%2829%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx%2B%28-10%29%2F%28%28-70x%29%2F%2851x-112%29%29=-%2829%2F7%29 ALIGN=MIDDLE  ALT=\"6%2Fx%2B%28-10%29%2F%28%28-70x%29%2F%2851x-112%29%29=-%2829%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-70x%29%2F%2851x-112%29 ALIGN=MIDDLE  ALT=\"y=%28-70x%29%2F%2851x-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, replace \"y\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-70x%29%2F%2851x-112%29 ALIGN=MIDDLE  ALT=\"%28-70x%29%2F%2851x-112%29\"   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=6%2Fx%2B%28-10%29%28%2851x-112%29%2F%28-70x%29%29=-%2829%2F7%29 ALIGN=MIDDLE  ALT=\"6%2Fx%2B%28-10%29%28%2851x-112%29%2F%28-70x%29%29=-%2829%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the numerator \"-10\" by the reciprocal of the fraction in the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx%2B%28-510x%2B1120%29%2F%28-70x%29=-%2829%2F7%29 ALIGN=MIDDLE  ALT=\"6%2Fx%2B%28-510x%2B1120%29%2F%28-70x%29=-%2829%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx%2B%28510x-1120%29%2F%2870x%29=-%2829%2F7%29 ALIGN=MIDDLE  ALT=\"6%2Fx%2B%28510x-1120%29%2F%2870x%29=-%2829%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x%286%2Fcross%28x%29%2B%28510x-1120%29%2F%28cross%2870x%29%29%29=70x%28-%2829%2Fcross%287%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x ALIGN=MIDDLE  ALT=\"70x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will eliminate the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2B510x-1120=-290x ALIGN=MIDDLE  ALT=\"420%2B510x-1120=-290x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420-1120=-290x-510x ALIGN=MIDDLE  ALT=\"420-1120=-290x-510x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=510x ALIGN=MIDDLE  ALT=\"510x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-700=-800x ALIGN=MIDDLE  ALT=\"-700=-800x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-700%29%2F%28-800%29=x ALIGN=MIDDLE  ALT=\"%28-700%29%2F%28-800%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -800.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F8 ALIGN=MIDDLE  ALT=\"x=7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce. So this is the first part of the answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-70x%29%2F%2851x-112%29 ALIGN=MIDDLE  ALT=\"y=%28-70x%29%2F%2851x-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first isolated equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-70%287%2F8%29%29%2F%2851%287%2F8%29-112%29 ALIGN=MIDDLE  ALT=\"y=%28-70%287%2F8%29%29%2F%2851%287%2F8%29-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F8 ALIGN=MIDDLE  ALT=\"x=7%2F8\"   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=y=%28-245%2F4%29%2F%28357%2F8-112%29 ALIGN=MIDDLE  ALT=\"y=%28-245%2F4%29%2F%28357%2F8-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-245%2F4%29%2F%28-539%2F8%29 ALIGN=MIDDLE  ALT=\"y=%28-245%2F4%29%2F%28-539%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-245%2F4%29%2A%288%2F%28-539%29%29 ALIGN=MIDDLE  ALT=\"y=%28-245%2F4%29%2A%288%2F%28-539%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10%2F11 ALIGN=MIDDLE  ALT=\"y=10%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and reduce\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F8 ALIGN=MIDDLE  ALT=\"x=7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10%2F11 ALIGN=MIDDLE  ALT=\"y=10%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > which forms the ordered pair <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{7}{8},\frac{10}{11}\right)\">\r<BR>\n" );
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