document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332786>Question 332786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply both side of the equation by a common denominator to eliminate the <BR>\n" );
document.write( "fractions.  Then solve the system.\r<BR>\n" );
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document.write( "x/5+3y=31<BR>\n" );
document.write( "2x-y/5=8\r<BR>\n" );
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document.write( "I have been struggling to try to solve this for over 4 days now and have had no <BR>\n" );
document.write( "luck.  We are given the final answer which is (5,10) but I can not figurge out <BR>\n" );
document.write( "how they got to that.  I need to show the work and solve the problem.  Can <BR>\n" );
document.write( "someone please help me.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238440 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=238440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5+%2B+3y+=+31 ALIGN=MIDDLE  ALT=\"x%2F5+%2B+3y+=+31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2F5+=+8 ALIGN=MIDDLE  ALT=\"2x-y%2F5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > First multiply both sides of both equations by 5 to clear the fractons.<BR>\n" );
document.write( "1a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2F5+%2B+3y%29+=+5%2831%29 ALIGN=MIDDLE  ALT=\"5%28x%2F5+%2B+3y%29+=+5%2831%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B15y+=+155 ALIGN=MIDDLE  ALT=\"x%2B15y+=+155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%282x-y%2F5%29+=+5%288%29 ALIGN=MIDDLE  ALT=\"5%282x-y%2F5%29+=+5%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-y+=+40 ALIGN=MIDDLE  ALT=\"10x-y+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have a choice here.  You want to get both equations to have the number of either the x-variable or the y-variable so that you can subtract (or add) the two equation to eliminate that variable.  I chose to multiply equation 1b) by 10 so that I can eliminate the x-variable by subtracting.<BR>\n" );
document.write( "1c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B150y+=+1550 ALIGN=MIDDLE  ALT=\"10x%2B150y+=+1550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-y+=+40 ALIGN=MIDDLE  ALT=\"10x-y+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract equation 2b) from equation 1c) which eliminates the x-variable.<BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=151y+=+1510 ALIGN=MIDDLE  ALT=\"151y+=+1510\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 151.<BR>\n" );
document.write( "3a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+10%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute this into equation 1) or 2) to solve for x.  I chose equation 2).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2F5+=+8 ALIGN=MIDDLE  ALT=\"2x-y%2F5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute y = 10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-10%2F5+=+8 ALIGN=MIDDLE  ALT=\"2x-10%2F5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2+=+8 ALIGN=MIDDLE  ALT=\"2x-2+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+10 ALIGN=MIDDLE  ALT=\"2x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is: (5, 10) </SPAN>\n" );
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