document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402500>Question 402500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve:  5/9w + 8/9 = 3w    \r<BR>\n" );
document.write( "\n" );
document.write( "This is our first time dealing with fractions in Algebra and we are stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284707 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9w+%2B+8%2F9+=+3w+ ALIGN=MIDDLE  ALT=\"5%2F9w+%2B+8%2F9+=+3w+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........first, find common denominator for left side; for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9w ALIGN=MIDDLE  ALT=\"9w\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9w ALIGN=MIDDLE  ALT=\"9w\"   DISABLED_style= \"max-width:90%; height:auto;\" >...multiply both sides by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9w ALIGN=MIDDLE  ALT=\"9w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9w%285%2F9w%29+%2B+9w%288%2F9%29+=+3w%2A9w+ ALIGN=MIDDLE  ALT=\"9w%285%2F9w%29+%2B+9w%288%2F9%29+=+3w%2A9w+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%289w%29%285%2Fcross%289w%29%29+%2B+cross%289%29w%288%2Fcross%289%29%29+=+27w%5E2+ ALIGN=MIDDLE  ALT=\"cross%289w%29%285%2Fcross%289w%29%29+%2B+cross%289%29w%288%2Fcross%289%29%29+=+27w%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B+8w+=+27w%5E2+ ALIGN=MIDDLE  ALT=\"5%2B+8w+=+27w%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27w%5E2+-8w+-+5+=+0 ALIGN=MIDDLE  ALT=\"27w%5E2+-8w+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......use quadratic formula to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%2A27%2A%28-5%29+%29%29%2F%282%2A27%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%2A27%2A%28-5%29+%29%29%2F%282%2A27%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%288+%2B-+sqrt%28+64+-108%2A%28-5%29+%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w+=+%288+%2B-+sqrt%28+64+-108%2A%28-5%29+%29%29%2F%2854%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%288+%2B-+sqrt%28+64+%2B+540+%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w+=+%288+%2B-+sqrt%28+64+%2B+540+%29%29%2F%2854%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%288+%2B-+sqrt%28+604%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w+=+%288+%2B-+sqrt%28+604%29%29%2F%2854%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%288+%2B-+%28+24.6%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w+=+%288+%2B-+%28+24.6%29%29%2F%2854%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "first solution:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w1+=+%288+%2B+%28+24.6%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w1+=+%288+%2B+%28+24.6%29%29%2F%2854%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=w1+=+%28+32.6%29%2F54+ ALIGN=MIDDLE  ALT=\"w1+=+%28+32.6%29%2F54+\"   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=w1+=++0.6+ ALIGN=MIDDLE  ALT=\"w1+=++0.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "second solution:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w2+=+%288+-+%28+24.6%29%29%2F%2854%29+ ALIGN=MIDDLE  ALT=\"w2+=+%288+-+%28+24.6%29%29%2F%2854%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w2+=+%28+-16.6%29%2F54+ ALIGN=MIDDLE  ALT=\"w2+=+%28+-16.6%29%2F54+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w2+=+-+0.3+ ALIGN=MIDDLE  ALT=\"w2+=+-+0.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "check: if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w1+=++0.6+ ALIGN=MIDDLE  ALT=\"w1+=++0.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9w+%2B+8%2F9+=+3w+ ALIGN=MIDDLE  ALT=\"5%2F9w+%2B+8%2F9+=+3w+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%289%280.6%29%29+%2B+8%2F9+=+3%280.6%29+ ALIGN=MIDDLE  ALT=\"5%2F%289%280.6%29%29+%2B+8%2F9+=+3%280.6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%285.4%29+%2B0.9+=+1.8+ ALIGN=MIDDLE  ALT=\"5%2F%285.4%29+%2B0.9+=+1.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9+%2B+0.9+=+1.8+ ALIGN=MIDDLE  ALT=\"0.9+%2B+0.9+=+1.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8+=+1.8+ ALIGN=MIDDLE  ALT=\"1.8+=+1.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );