document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007667>Question 1007667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone look at my work and tell me what I'm doing wrong.\r<BR>\n" );
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document.write( "Solve the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285+%2F+2x+%29+-+%28+2+%2F+y+%29+=+%28+3+%2F+2+%29+ ALIGN=MIDDLE  ALT=\"+%285+%2F+2x+%29+-+%28+2+%2F+y+%29+=+%28+3+%2F+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "I started by letting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+1+%2F+x+%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28+1+%2F+x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+1+%2F+y+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+1+%2F+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2a+%29+%2B+%28+3+%2F+2+%29b+=+%28+11%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+2a+%29+%2B+%28+3+%2F+2+%29b+=+%28+11%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285+%2F+2+%29a+-+%28+2b+%29+=+%28+3+%2F+2+%29+ ALIGN=MIDDLE  ALT=\"+%285+%2F+2+%29a+-+%28+2b+%29+=+%28+3+%2F+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Then I got rid of the denominators on the right side of the '=' through multiplication<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285a+%29+-+%28+4b+%29+=+%28+3+%29+ ALIGN=MIDDLE  ALT=\"+%285a+%29+-+%28+4b+%29+=+%28+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Then I got rid of the denominators that were on the left side of the '='<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+16a+%29+%2B+%28+12b+%29+=+%28+22+%29+ ALIGN=MIDDLE  ALT=\"+%28+16a+%29+%2B+%28+12b+%29+=+%28+22+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2810a+%29+-+%28+8b+%29+=+%28+6+%29+ ALIGN=MIDDLE  ALT=\"+%2810a+%29+-+%28+8b+%29+=+%28+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Then I added the two together and solved for a.<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26a+=+28+ ALIGN=MIDDLE  ALT=\"+26a+=+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%2828%2F26%29+ ALIGN=MIDDLE  ALT=\"+a+=+%2828%2F26%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%2814%2F13%29+ ALIGN=MIDDLE  ALT=\"+a+=+%2814%2F13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "I then substituted what I found for a into the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > equation.<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%28+14%2F13+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+8%28+14%2F13+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+112%2F13+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+112%2F13+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6b+%29+=+%28+31%2F13+%29+ ALIGN=MIDDLE  ALT=\"+%28+6b+%29+=+%28+31%2F13+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+31%2F78+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+31%2F78+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "I then converted back to x and y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+1+%2F+a+%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+1+%2F+a+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+%2F+14+ ALIGN=MIDDLE  ALT=\"+13+%2F+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+1+%2F+b+%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28+1+%2F+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+78+%2F+31+ ALIGN=MIDDLE  ALT=\"+78+%2F+31+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "When I plug the x and y values back into the original equation, the x value works perfectly. However, I'm having a tough time getting the y value to match up.<BR>\n" );
document.write( "What am I doing wrong?<BR>\n" );
document.write( "Thank you for all your help!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623498 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Solve the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285+%2F+2x+%29+-+%28+2+%2F+y+%29+=+%28+3+%2F+2+%29+ ALIGN=MIDDLE  ALT=\"+%285+%2F+2x+%29+-+%28+2+%2F+y+%29+=+%28+3+%2F+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "I started by letting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+1+%2F+x+%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28+1+%2F+x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+1+%2F+y+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+1+%2F+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2a+%29+%2B+%28+3+%2F+2+%29b+=+%28+11%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+2a+%29+%2B+%28+3+%2F+2+%29b+=+%28+11%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285+%2F+2+%29a+-+%28+2b+%29+=+%28+3+%2F+2+%29+ ALIGN=MIDDLE  ALT=\"+%285+%2F+2+%29a+-+%28+2b+%29+=+%28+3+%2F+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Then I got rid of the denominators on the right side of the '=' through multiplication<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285a+%29+-+%28+4b+%29+=+%28+3+%29+ ALIGN=MIDDLE  ALT=\"+%285a+%29+-+%28+4b+%29+=+%28+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Then I got rid of the denominators that were on the left side of the '='<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+16a+%29+%2B+%28+12b+%29+=+%28+22+%29+ ALIGN=MIDDLE  ALT=\"+%28+16a+%29+%2B+%28+12b+%29+=+%28+22+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2810a+%29+-+%28+8b+%29+=+%28+6+%29+ ALIGN=MIDDLE  ALT=\"+%2810a+%29+-+%28+8b+%29+=+%28+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Above, b does not cancel off by adding the two equations\r<BR>\n" );
document.write( "\n" );
document.write( "you have to eliminate b\r<BR>\n" );
document.write( "\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+8a+%29+%2B+%28+6b+%29+=+%28+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 2<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285a+%29+-+%28+4b+%29+=+%28+3+%29+ ALIGN=MIDDLE  ALT=\"+%285a+%29+-+%28+4b+%29+=+%28+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ^ 3\r<BR>\n" );
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document.write( "we get\r<BR>\n" );
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document.write( "16a+12b = 22<BR>\n" );
document.write( "15a -12b = 9<BR>\n" );
document.write( "_____________\r<BR>\n" );
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document.write( "add\r<BR>\n" );
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document.write( "31a = 31<BR>\n" );
document.write( "a= 1\r<BR>\n" );
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document.write( "Plug a \r<BR>\n" );
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document.write( "so we get b = 1/2\r<BR>\n" );
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document.write( "a= 1/x = 1 so x=1\r<BR>\n" );
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document.write( "b = 1/2 =`1/y\r<BR>\n" );
document.write( "\n" );
document.write( "y=2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+2+%2F+x+%29+%2B+%28+3+%2F+2y+%29+=+%28+11%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F1%29%2B%283%2F4%29+ ALIGN=MIDDLE  ALT=\"%282%2F1%29%2B%283%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B%283%2F4%29 ALIGN=MIDDLE  ALT=\"2%2B%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F4 ALIGN=MIDDLE  ALT=\"11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );