
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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February 26th, 2017, 03:52 AM  #1 
Newbie Joined: Feb 2017 From: uk Posts: 6 Thanks: 0  Making a letter the subject of an equation
Hey guys, I've been studying maths for a few months but I'm really struggling with making a letter the subject when it is on both sides of the equations (in a fraction) i.e. please see below (how would i make t the subject)? The part I struggle with is removing t from one side (there is only '1' 't' on either side so how do i get rid of one without removing the other?) 5y  11/t = 13  7y/t Any help is much appreciated 
February 26th, 2017, 04:00 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,724 Thanks: 1378 
$5y\dfrac{11}{t}=13\dfrac{7y}{t}$ start by multiplying every term by $t$ ... $5yt11=13t7y$ move all terms with a factor of $t$ to the same side, all terms w/o to the other side ... $5yt 13t=117y$ factor out $t$ ... $t(5y13)=117y$ divide both sides by $5y13$ ... $t=\dfrac{117y}{5y13}$ 
February 26th, 2017, 04:04 AM  #3 
Newbie Joined: Feb 2017 From: uk Posts: 6 Thanks: 0 
Thank you so much!!!

March 3rd, 2017, 03:59 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,970 Thanks: 807 
Equivalently, starting with add to both sides: Subtract 13 from both sides: Invert both sides: Finally, multiply both sides by 11 7y: 

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