document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467095>Question 467095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I have a question on solving formulas for variables.\r<BR>\n" );
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document.write( "What are the steps for solving this problem.\r<BR>\n" );
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document.write( "x/5 + 5y = m/n; solve for y\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320377 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:<BR>\n" );
document.write( "x/5 + 5y = m/n<BR>\n" );
document.write( "you want to solve for y.<BR>\n" );
document.write( "subtract x/5 from both sides of the equation to get:<BR>\n" );
document.write( "5y = m/n - x/5<BR>\n" );
document.write( "divide both sides of the equation by 5 to get:<BR>\n" );
document.write( "y = (m/n)/5 - (x/5)/5<BR>\n" );
document.write( "(m/n)/5 is equivalent to m/(5n)<BR>\n" );
document.write( "(x/5)/5 is equivalent to x/25)<BR>\n" );
document.write( "your equation becomes:<BR>\n" );
document.write( "y = m/(5n) - x/25<BR>\n" );
document.write( "you can put everything under a common denominator to get:<BR>\n" );
document.write( "y = 25m/(25*5*n) - 5nx/(25*5*h) which becomes:<BR>\n" );
document.write( "y = (25m - 5nx) / (125n)<BR>\n" );
document.write( "you can factor this further to get:<BR>\n" );
document.write( "y = 5*(5m-nx) / (125n)<BR>\n" );
document.write( "you can simplify this further to get:<BR>\n" );
document.write( "y = (5m-nx) / (25n)<BR>\n" );
document.write( "i think this is as far as you can go.<BR>\n" );
document.write( "to confirm you did the process correctly, give some numbers to the variables and see if the equations  are the same.<BR>\n" );
document.write( "i let:<BR>\n" );
document.write( "m = 2<BR>\n" );
document.write( "n = 3<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "using these values, the original equation of:<BR>\n" );
document.write( "x/5 + 5y = m/n becomes:<BR>\n" );
document.write( "4/5 + 5y = 2/3<BR>\n" );
document.write( "subtract 4/5 from both sides to get:<BR>\n" );
document.write( "5y = 2/3 - 4/5<BR>\n" );
document.write( "divide both sides by 5 to get:<BR>\n" );
document.write( "y = (2/3)/5 - (4/5)/5 which becomes:<BR>\n" );
document.write( "y = 2/15 - 4/25<BR>\n" );
document.write( "i'll stop there and see if i can duplicate that with the final equation.<BR>\n" );
document.write( "the final equation is:<BR>\n" );
document.write( "y = (5m-nx) / (25n)<BR>\n" );
document.write( "after substitution this becomes:<BR>\n" );
document.write( "y = (10 - 12) / 75<BR>\n" );
document.write( "i have 2 equations.<BR>\n" );
document.write( "the final equations shows up as y = (10 - 12) / 75<BR>\n" );
document.write( "the original equation shows up as y = 2/15 - 4/25<BR>\n" );
document.write( "i will get the original equation to have a common denominator.<BR>\n" );
document.write( "the original equation becomes:<BR>\n" );
document.write( "y = 10/75 - 12/75 which becomes (10 - 12) / 75<BR>\n" );
document.write( "both equations are identical so the transformation was performed correctly.<BR>\n" );
document.write( " </SPAN>\n" );
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