Question

Solve for y in terms of xSolve for y:.75y = 1/4 (x-3)

Answer 1

Given the following equation:

`0.75y=(1)/(4)(x-3)`

You can solve for the variable "y" in terms of "x" by following the steps shown bellow:

1. You can rewrite the fraction as a decimal number, by dividing the numerator by the denominator:

`0.75y=0.25(x-3)`

2. Apply the Distributive property, which states that:

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

Then:

`\begin{gathered} 0.75y=(0.25)(x)-(0.25)(3) \\ 0.75y=0.25x-0.75 \end{gathered}`

3. Apply the Division property of equality by dividing both sides of the equation by 0.75:

`\begin{gathered} (0.75y)/(0.75)=(0.25x)/(0.75)-(0.75)/(0.75) \\ \\ y=0.33x-1 \end{gathered}`

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

`y=0.33x-1`