document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12587>Question 12587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was going along just fine doing Systems of Linear Equations and inequalities by the addition method. All of a sudden I had fractions and I am so confused, I have come up with the answers for a few of them, I don't know how, I just kept trying different things to multiply them by, but there has got to be something I am doing wrong. It is taking me 4 hours to do 20 problems and a whole sheet of paper just to answer 3 problems. Here is one I got to and completely went, HUH!! <BR>\n" );
document.write( "2x/5 - y/2=13/2<BR>\n" );
document.write( "3x/4 - y/5=17/2<BR>\n" );
document.write( "Now, If i remember right, my instructor said that you wanted to find a number to multiply these all by, and to find a number that all 3 denominators would go into. So I used 10 for the 1st one. This is how I did it.<BR>\n" );
document.write( "(10)2x/5 - (10)y/2=(10)13/2, and my answer for that one is<BR>\n" );
document.write( "4x+5y=65, I don't know if this is right, or if it is, what to do next. Please Help!!!!!!!!!! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6383 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=6383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are on the right track! Multiply the 1st equation by 10.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%282x%2F5+-+y%2F2%29+=+10%2813%2F2%29 ALIGN=MIDDLE  ALT=\"10%282x%2F5+-+y%2F2%29+=+10%2813%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+65 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the 2nd equation by 20.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%283x%2F4+-+y%2F5%29+=+20%2817%2F2%29 ALIGN=MIDDLE  ALT=\"20%283x%2F4+-+y%2F5%29+=+20%2817%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x+-+4y+=+170 ALIGN=MIDDLE  ALT=\"15x+-+4y+=+170\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, now you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+65 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+65\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x+-+4y+=+170 ALIGN=MIDDLE  ALT=\"15x+-+4y+=+170\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now you can solve these by any one of the accepted methods so let's try elimination.\r<BR>\n" );
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document.write( "Let's multiply the 1st equation by 4 (so we can get 20y) and the 2nd equation by 5 (so we can get 20y there too}.  Then we'll subtract one equation from the other to eliminate the y terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x+-+20y+=+260 ALIGN=MIDDLE  ALT=\"16x+-+20y+=+260\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75x+-+20y+=+850 ALIGN=MIDDLE  ALT=\"75x+-+20y+=+850\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the top one from the bottom one.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59x+=+590 ALIGN=MIDDLE  ALT=\"59x+=+590\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 59.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10 ALIGN=MIDDLE  ALT=\"x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+65 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+65\"   DISABLED_style= \"max-width:90%; height:auto;\" > rewrite as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+4x+-+65 ALIGN=MIDDLE  ALT=\"5y+=+4x+-+65\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute x = 10 and solve for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+4%2810%29+-+65 ALIGN=MIDDLE  ALT=\"5y+=+4%2810%29+-+65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+40+-+65 ALIGN=MIDDLE  ALT=\"5y+=+40+-+65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+-25 ALIGN=MIDDLE  ALT=\"5y+=+-25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-5 ALIGN=MIDDLE  ALT=\"y+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The solution is: (10, -5)\r<BR>\n" );
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document.write( "Let's see what the graph looks like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-4%2C15%2C-10%2C8%2C%284%2F5%29x-13%2C%2815%2F4%29x-%2885%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-4%2C15%2C-10%2C8%2C%284%2F5%29x-13%2C%2815%2F4%29x-%2885%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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