document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30220>Question 30220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.  \r<BR>\n" );
document.write( "\n" );
document.write( "Word for word quoted from the text:\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the following literal equation for y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Y-1%29%2F%28Y%2B1%29+=+%28A-B%29%2F%28A%2BB%29 ALIGN=MIDDLE  ALT=\"%28Y-1%29%2F%28Y%2B1%29+=+%28A-B%29%2F%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16919 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Y-1)/(Y+1) = (A-B)/(A+B) ----(1)<BR>\n" );
document.write( "Cross multiplying<BR>\n" );
document.write( "(y-1)(A+B) = (A-B)(y+1)<BR>\n" );
document.write( "y(A+B)-1(A+B) = (A-B)y +(A-B)<BR>\n" );
document.write( "y(A+B)-(A-B)y = +(A+B)+(A-B) <BR>\n" );
document.write( "(grouping the y-terms on one side and the other terms on the other side)<BR>\n" );
document.write( "[(A+B)-(A-B)]y = A+B+A-B<BR>\n" );
document.write( "{(by multiplicative commutativity y(A+B)= (A+B)y )and then taking y out}<BR>\n" );
document.write( "[A+B-A+B]y =2A<BR>\n" );
document.write( "2By = 2A<BR>\n" );
document.write( "y = 2A/2B = A/B<BR>\n" );
document.write( "Answer: y = A/B <BR>\n" );
document.write( "Verification:Putting y = A/B in (1)<BR>\n" );
document.write( "LHS = [(A/B-1)]/[(A/B+1)]<BR>\n" );
document.write( "= [(A-B)/B]/[(A+B)/B] <BR>\n" );
document.write( "=[(A-B)/B]X[B/(A+B)]<BR>\n" );
document.write( "= (A-B)/(A+B)= RHS<BR>\n" );
document.write( "Note: Cross multiplication:<BR>\n" );
document.write( "When you have a fraction on the left side = a fraction on the right side,<BR>\n" );
document.write( "then cross multiplication is <BR>\n" );
document.write( "(multiplication of  the nr of the left with the dr of the right) <BR>\n" );
document.write( "equated to (multiplication of  the nr of the right with the dr of the left) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );