document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680952>Question 680952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation 6x+3y=33<BR>\n" );
document.write( "                                   2x+9y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422520 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=422520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x + 3y = 33<BR>\n" );
document.write( "2x + 9y = 3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply the first equation by -3, then add the two equations<BR>\n" );
document.write( "-3(6x+3y=33) to get -18x - 9y = -99<BR>\n" );
document.write( "Adding<BR>\n" );
document.write( "-18x + 2x - 9y + 9y = -99 + 3<BR>\n" );
document.write( "-16x = -96<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Plug x into either equation and solve for y<BR>\n" );
document.write( "6(6) + 3y = 33<BR>\n" );
document.write( "36 + 3y = 33<BR>\n" );
document.write( "3y = 33 - 36<BR>\n" );
document.write( "3y = -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "OR you could multiply the second equation by -3 and add the two equations to solve for y<BR>\n" );
document.write( "6x+3y=33<BR>\n" );
document.write( "-3(2x+9y=3) to get -6x - 27y = -9<BR>\n" );
document.write( "6x + -6x + 3y + -27y = 33 + -9<BR>\n" );
document.write( "-24y = 24<BR>\n" );
document.write( "y = -1\r<BR>\n" );
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document.write( "...<BR>\n" );
document.write( "Solution is (6,-1)<BR>\n" );
document.write( ".....................<BR>\n" );
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