document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259701>Question 259701</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Let the operation x ¤ y be defined by x ¤ y = (2y + x) + (3x - y). <BR>\n" );
document.write( "If 2 ¤ 1 = 3 ¤ w, what is the value of w? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191114 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=191114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Don't be freaked by the operation they give you. Looking at it, we can say that it means <BR>\n" );
document.write( "\"twice the second + the first + 3 times the first minus the second\"<BR>\n" );
document.write( "We can actually simplify this as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%A4+y+=+%28y+%2B+4x%29 ALIGN=MIDDLE  ALT=\"x+%A4+y+=+%28y+%2B+4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "We start with<BR>\n" );
document.write( "2 ¤ 1 = 4(2) + 1 = 9<BR>\n" );
document.write( "and then<BR>\n" );
document.write( "3 ¤ w = 4(3) + w<BR>\n" );
document.write( "--<BR>\n" );
document.write( "set them equal to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+12+%2B+w ALIGN=MIDDLE  ALT=\"9+=+12+%2B+w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+-3 ALIGN=MIDDLE  ALT=\"w+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );