document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664543>Question 664543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was hoping to find the answer to this problem as well as the work on how to solve it. It is a particularly important review question I want to have on hand to refer back to if I get another question like it in the future on homework etc. Thanks! \r<BR>\n" );
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document.write( "Solve the following system of equations for x and y:\r<BR>\n" );
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document.write( "1/2x + 3/2y = 3/8\r<BR>\n" );
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document.write( "9/x - 6/y = 15/12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413353 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282x%29+%2B+3%2F%282y%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F%282x%29+%2B+3%2F%282y%29+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2Fx+-+6%2Fy+=+15%2F12+ ALIGN=MIDDLE  ALT=\"+9%2Fx+-+6%2Fy+=+15%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Are these the right equations?<BR>\n" );
document.write( "If so, <BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%2Ay+ ALIGN=MIDDLE  ALT=\"+8x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+%2B+12x+=+3x%2Ay+ ALIGN=MIDDLE  ALT=\"+4y+%2B+12x+=+3x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12x%2Ay+ ALIGN=MIDDLE  ALT=\"+12x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+108y+-+72x+=+15x%2Ay+ ALIGN=MIDDLE  ALT=\"+108y+-+72x+=+15x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+ ALIGN=MIDDLE  ALT=\"+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and add the equations<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24y+%2B+72x+=+18x%2Ay+ ALIGN=MIDDLE  ALT=\"+24y+%2B+72x+=+18x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+108y+-+72x+=+15x%2Ay+ ALIGN=MIDDLE  ALT=\"+108y+-+72x+=+15x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+132y+=+33x%2Ay+ ALIGN=MIDDLE  ALT=\"+132y+=+33x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+132%2F33+ ALIGN=MIDDLE  ALT=\"+x+=+132%2F33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+44%2F11+ ALIGN=MIDDLE  ALT=\"+x+=+44%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug this back into (1) or (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+%2B+12x+=+3x%2Ay+ ALIGN=MIDDLE  ALT=\"+4y+%2B+12x+=+3x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+%2B+12%2A4+=+3%2A4%2Ay+ ALIGN=MIDDLE  ALT=\"+4y+%2B+12%2A4+=+3%2A4%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+%2B+48+=+12y+ ALIGN=MIDDLE  ALT=\"+4y+%2B+48+=+12y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8y+=+48+ ALIGN=MIDDLE  ALT=\"+8y+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+ ALIGN=MIDDLE  ALT=\"+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "check solutions:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282x%29+%2B+3%2F%282y%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F%282x%29+%2B+3%2F%282y%29+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282%2A4%29+%2B+3%2F%282%2A6%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F%282%2A4%29+%2B+3%2F%282%2A6%29+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F4+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F4+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F8+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+3%2F8+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2Fx+-+6%2Fy+=+15%2F12+ ALIGN=MIDDLE  ALT=\"+9%2Fx+-+6%2Fy+=+15%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F4+-+6%2F6+=+15%2F12+ ALIGN=MIDDLE  ALT=\"+9%2F4+-+6%2F6+=+15%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27%2F12+-+12%2F12+=+15%2F12+ ALIGN=MIDDLE  ALT=\"+27%2F12+-+12%2F12+=+15%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27+-+12+=+15+ ALIGN=MIDDLE  ALT=\"+27+-+12+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15+=+15+ ALIGN=MIDDLE  ALT=\"+15+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );