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Algebra, STD2 A2 2022 HSC 14 MC v1

Which of the following correctly expresses \(x\) as the subject of  \(y=\dfrac{mx-c}{3}\) ?

  1. \(x=\dfrac{3y}{m}+c\)
  2. \(x=\dfrac{y}{3m}+c\)
  3. \(x=\dfrac{y+c}{3m}\)
  4. \(x=\dfrac{3y+c}{m}\)
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\(D\)

Show Worked Solution
\(y\) \(=\dfrac{mx-c}{3}\)
\(3y\) \(=mx-c\)
\(mx\) \(=3y+c\)
\(\therefore\ x\) \(=\dfrac{3y+c}{m}\)

 
\(\Rightarrow D\)

Filed Under: Formula Rearrange (Std 2-X) Tagged With: Band 4, eo-derivative (HSC), smc-5232-10-Linear

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