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Solve for y in terms of xSolve for y:1/3y=6 (x- 1/6)

User Rao Sahab
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1 Answer

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You have the following equation given in the exercise:


(1)/(3)y=6(x-(1)/(6))

In order to solve for "y" in terms of "x", you can follow the steps shown below:

1. Apply the Distributive property, which states:


\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}

Then:


\begin{gathered} (1)/(3)y=(6)(x)-(6)((1)/(6)) \\ \\ (1)/(3)y=6x-1 \end{gathered}

2. Now you must apply the Multiplication property of equality by multiplying both sides of the equation by 3:


\begin{gathered} ((1)/(3)y)(3)=(6x-1)(3) \\ \\ y=18x-3 \end{gathered}

Therefore, the equation solved for "y" in terms of "x", is:


y=18x-3

User Razemauze
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