document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578790>Question 578790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Methods of substitution or addition. Fractions are presenting issues.\r<BR>\n" );
document.write( "\n" );
document.write( "1/6x - 1/12y = -13/6  over<BR>\n" );
document.write( "1/5x + 1/4y = 2\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks again! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370924 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=370924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To add or compare fractions, you express them on a common denominator that is a multiple of all the denominators.<BR>\n" );
document.write( "If you were working with 1/5 and 1/4, you would use 20 as a common denominator because it is a common multiple of 4 and 5.<BR>\n" );
document.write( "When fractions present issues in an equation you \"eliminate denominators by multiplying both sides of the equal sign by a common multiple, to get an simpler equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29x+%2B+%281%2F4%29y+=+2 ALIGN=MIDDLE  ALT=\"%281%2F5%29x+%2B+%281%2F4%29y+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%28%281%2F5%29x+%2B+%281%2F4%29y%29+=+20%2A2 ALIGN=MIDDLE  ALT=\"20%28%281%2F5%29x+%2B+%281%2F4%29y%29+=+20%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5y=40 ALIGN=MIDDLE  ALT=\"4x%2B5y=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can do something similar for the other equation, using 12 for a common multiple.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x-%281%2F12%29y=-13%2F6 ALIGN=MIDDLE  ALT=\"%281%2F6%29x-%281%2F12%29y=-13%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A%28%281%2F6%29x-%281%2F12%29y%29=12%2A%28-13%2F6%29 ALIGN=MIDDLE  ALT=\"12%2A%28%281%2F6%29x-%281%2F12%29y%29=12%2A%28-13%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=-26 ALIGN=MIDDLE  ALT=\"2x-y=-26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have the easier system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x-y=-26%2C4x%2B5y=40%29 ALIGN=MIDDLE  ALT=\"system%282x-y=-26%2C4x%2B5y=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You could use substitution, solving one equation for y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=-26 ALIGN=MIDDLE  ALT=\"2x-y=-26\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B26=y ALIGN=MIDDLE  ALT=\"2x%2B26=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and substituting the expression found for y in the other equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5%282x%2B26%29=40 ALIGN=MIDDLE  ALT=\"4x%2B5%282x%2B26%29=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10x%2B130=40 ALIGN=MIDDLE  ALT=\"4x%2B10x%2B130=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x%2B130=40 ALIGN=MIDDLE  ALT=\"14x%2B130=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x=40-130 ALIGN=MIDDLE  ALT=\"14x=40-130\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x=-90 ALIGN=MIDDLE  ALT=\"14x=-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-90%2F14 ALIGN=MIDDLE  ALT=\"x=-90%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-45%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-45%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B26 ALIGN=MIDDLE  ALT=\"y=2x%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A%28-45%2F7%29%2B26 ALIGN=MIDDLE  ALT=\"y=2%2A%28-45%2F7%29%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-90%2F7%2B182%2F7 ALIGN=MIDDLE  ALT=\"y=-90%2F7%2B182%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=92%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28y=92%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );