document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=8017>Question 8017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to help my daughter with an algebra review sheet and I can not figure out how to do this problem.\r<BR>\n" );
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document.write( "a/2 + C = 19<BR>\n" );
document.write( "a/4 - 3C = -8<BR>\n" );
document.write( "Find a\r<BR>\n" );
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document.write( "thank you very much,<BR>\n" );
document.write( "Lydia Waller </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4392 by </B><A HREF=/tutors/aboutme.mpl?userid=glabow><B>glabow(165)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=glabow><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=4392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since there are two numbers that are represented by \"unknowns\" (C and a) you can try to find out what C is and then use it to find a.<BR>\n" );
document.write( "The first equation says<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F2+%2B+C+=+19 ALIGN=MIDDLE  ALT=\"a%2F2+%2B+C+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F2+=+19+-+C ALIGN=MIDDLE  ALT=\"a%2F2+=+19+-+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > [subtracting C from both sides]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F2+-+19+=+-C ALIGN=MIDDLE  ALT=\"a%2F2+-+19+=+-C\"   DISABLED_style= \"max-width:90%; height:auto;\" > [subtracting 19 from both sides]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+19+-+a%2F2 ALIGN=MIDDLE  ALT=\"C+=+19+-+a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > [multiplying both sides by -1 and rearranging]<BR>\n" );
document.write( "This value for C can be put into the second equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F4+-+3C+=+-8 ALIGN=MIDDLE  ALT=\"a%2F4+-+3C+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F4+-3%2819+-+a%2F2%29+=+-8 ALIGN=MIDDLE  ALT=\"a%2F4+-3%2819+-+a%2F2%29+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > [putting 19-a/2 for C]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F4+-+57+%2B+3a%2F2+=+-8 ALIGN=MIDDLE  ALT=\"a%2F4+-+57+%2B+3a%2F2+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > [multiplying each term in the group by -3]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F4+-+57+%2B+6a%2F4+=+-8 ALIGN=MIDDLE  ALT=\"a%2F4+-+57+%2B+6a%2F4+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > [getting a common denominator of 4 for the fractions]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7a%2F4+-+57+=+-8 ALIGN=MIDDLE  ALT=\"7a%2F4+-+57+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > [adding the fractions]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7a%2F4+=+49 ALIGN=MIDDLE  ALT=\"7a%2F4+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" > [adding 57 to both sides]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7a+=+196 ALIGN=MIDDLE  ALT=\"7a+=+196\"   DISABLED_style= \"max-width:90%; height:auto;\" > [multiplying both sides by 4]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+28 ALIGN=MIDDLE  ALT=\"a+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" > [dividing both sides by 7]<BR>\n" );
document.write( "Now put the value for a in the equation for C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+19+-+28%2F2+=+19+-+14+=+5 ALIGN=MIDDLE  ALT=\"C+=+19+-+28%2F2+=+19+-+14+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Checking:<BR>\n" );
document.write( "28/2 + 5 = 14 + 5 = 9<BR>\n" );
document.write( "28/4 - 15 = 7 - 15 = -8<BR>\n" );
document.write( " </SPAN>\n" );
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