document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883491>Question 883491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for y in the equation<BR>\n" );
document.write( "3/x - 4/y + 6/z = 1<BR>\n" );
document.write( "9/x + 8/y - 12/z = 3<BR>\n" );
document.write( "9/x - 4/y + 12/z = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533612 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is easy to solve the system if we make<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1%2Fx ALIGN=MIDDLE  ALT=\"a=1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2Fy ALIGN=MIDDLE  ALT=\"b=1%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1%2Fz ALIGN=MIDDLE  ALT=\"c=1%2Fz\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After that, we just write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283a-4b%2B6c=1%2C9a%2B8b-a2c=3%2C9a-4b%2B12c=4%29 ALIGN=MIDDLE  ALT=\"system%283a-4b%2B6c=1%2C9a%2B8b-a2c=3%2C9a-4b%2B12c=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Multiplying the first equation times 2 and adding the second equation we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a-8b%2B12c=2 ALIGN=MIDDLE  ALT=\"6a-8b%2B12c=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a%2B8b-12c=3 ALIGN=MIDDLE  ALT=\"9a%2B8b-12c=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "_________________<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15a=5 ALIGN=MIDDLE  ALT=\"15a=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5%2F15 ALIGN=MIDDLE  ALT=\"a=5%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1%2F3 ALIGN=MIDDLE  ALT=\"a=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding the second and third equations we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a-8b%2B12c=2 ALIGN=MIDDLE  ALT=\"6a-8b%2B12c=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a-4b%2B12c=4 ALIGN=MIDDLE  ALT=\"9a-4b%2B12c=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "_________________<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18a%2B4b=7 ALIGN=MIDDLE  ALT=\"18a%2B4b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With the two resulting equations without a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2F3%2C18a%2B4b=7%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2F3%2C18a%2B4b=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2A%281%2F3%29%2B4b=7 ALIGN=MIDDLE  ALT=\"18%2A%281%2F3%29%2B4b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B4b=7 ALIGN=MIDDLE  ALT=\"6%2B4b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b=7-6 ALIGN=MIDDLE  ALT=\"4b=7-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b=1 ALIGN=MIDDLE  ALT=\"4b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2F4 ALIGN=MIDDLE  ALT=\"b=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28b=1%2Fy%2Cb=1%2F4%29 ALIGN=MIDDLE  ALT=\"system%28b=1%2Fy%2Cb=1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=4%29 ALIGN=MIDDLE  ALT=\"highlight%28b=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );