My Math Forum Having trouble with formulas (Equations & Transpositions)

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 November 4th, 2016, 04:12 PM #1 Newbie   Joined: Aug 2015 From: Alberta Posts: 18 Thanks: 0 Having trouble with formulas (Equations & Transpositions) Solve for A b = 1/2h (A + C) My first step is to minus C on both sides so I got b - C = 1/2h A then i flip the 1/2 to 2/1 so it's b - C = 2h A My second step is to divide both sides by 2h.. b-c/2h = A But in my text book it says the answer is A = 2b/h - C I don't get it, where did i go wrong?
November 4th, 2016, 04:38 PM   #2
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Quote:
 Solve for A b = 1/2h (A + C)
your very first step is incorrect. you cannot subtract $c$ from inside the parentheses.

$b = \dfrac{1}{2}h(a+c)$

multiply both sides by 2 ...

$2b = h(a+c)$

divide both sides by $h$ ...

$\dfrac{2b}{h}=a+c$

subtract $c$ from both sides ...

$\dfrac{2b}{h}-c=a$

 November 8th, 2016, 12:38 AM #3 Member   Joined: Sep 2016 From: India Posts: 88 Thanks: 30 $b=\dfrac{1}{2}h(a+c)$ Use inverse operations and leave $a$ at one side- Here, $2$ is being divided, so multiply both sides by $2$ $2b=h(a+c)$ $h$ is being multiplied so divide both sides by $h$ $\dfrac{2b}{h}=(a+c)$ $c$ is being added so subtract $c$ from both sides $\dfrac{2b}{h}-c=a$

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