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18= 3/4 (2w-1)

 Dec 14, 2018
 #1
avatar+4221 
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In LaTeX: \(18=\frac{3}{4}(2w-1)\). Solving this, we get \(\frac{6w}{4}-\frac{3}{4}=18, \frac{6w}{4}=18\frac{3}{4}\) . Now, multiplying both sides by \(4\) , we attain       \(​​​​​​6w=75, \boxed{x=12.5}.\)

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 Dec 14, 2018
 #2
avatar+701 
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\(18= 3/4 (2w-1)\)

 

I would directly multiply both sides by \(\dfrac{4}{3}\) to get \(24 = 2w-1\). Adding 1 to both sides, we have \(2w = 25\), and by dividing both sides by 2, we have \(\boxed{12.5}\) or \(\boxed{12\dfrac{1}{2}}\).

 

- PM

 Dec 15, 2018
edited by PartialMathematician  Dec 15, 2018

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