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(4)/(t-1)=(3)/(w-1) If in the equation...

`(4)/(t-1)=(3)/(w-1)`
If in the equation above `tne1 and wne1`, then t=

A

`2w-1`

B

`2(w-1)`

C

`w-2`

D

`2w`

Text Solution

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The correct Answer is:
To solve the equation \(\frac{4}{t-1} = \frac{3}{w-1}\) for \(t\) in terms of \(w\), we can follow these steps: ### Step 1: Write down the equation We start with the given equation: \[ \frac{4}{t-1} = \frac{3}{w-1} \] ### Step 2: Cross multiply We cross multiply to eliminate the fractions: \[ 4(w - 1) = 3(t - 1) \] ### Step 3: Expand both sides Now we expand both sides of the equation: \[ 4w - 4 = 3t - 3 \] ### Step 4: Rearrange the equation Next, we want to isolate the term involving \(t\). We can add 3 to both sides: \[ 4w - 4 + 3 = 3t \] This simplifies to: \[ 4w - 1 = 3t \] ### Step 5: Solve for \(t\) Now, we divide both sides by 3 to solve for \(t\): \[ t = \frac{4w - 1}{3} \] ### Final Answer Thus, the value of \(t\) in terms of \(w\) is: \[ t = \frac{4w - 1}{3} \] ---
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