Questions: Solve a=(1/2)(v+t) y for y

Solve a=(1/2)(v+t) y for y
Transcript text: Solve $a=\frac{1}{2}(v+t) y$ for $y$
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Solution

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Solution Steps

To solve the equation \( a = \frac{1}{2}(v + t) y \) for \( y \), we need to isolate \( y \) on one side of the equation. This involves multiplying both sides by 2 to eliminate the fraction and then dividing by \( (v + t) \).

Step 1: Isolate \( y \)

Starting with the equation \[ a = \frac{1}{2}(v + t) y, \] we multiply both sides by 2 to eliminate the fraction: \[ 2a = (v + t) y. \]

Step 2: Solve for \( y \)

Next, we divide both sides by \( (v + t) \) to isolate \( y \): \[ y = \frac{2a}{v + t}. \]

Final Answer

Thus, the solution for \( y \) is \[ \boxed{y = \frac{2a}{v + t}}. \]

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