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32. Solve the equation for \( x \) \( \frac{(x+3)}{y}=6 \), where \( y=3 \)

Ask by Summers Hamilton. in the United States
Feb 12,2025

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Answer

\( x = 15 \)

Solution

We are given the equation (x + 3) / y = 6 with y = 3. Step 1: Substitute y = 3 into the equation:   (x + 3) / 3 = 6 Step 2: Multiply both sides of the equation by 3 to eliminate the fraction:   x + 3 = 6 × 3   x + 3 = 18 Step 3: Solve for x by subtracting 3 from both sides:   x = 18 - 3   x = 15 Thus, the solution for x is 15.

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The Deep Dive

To solve the equation \( \frac{(x+3)}{y}=6 \) with \( y=3 \), start by substituting \( y \) into the equation: \[ \frac{(x+3)}{3}=6 \] Now, multiply both sides by 3 to eliminate the fraction: \[ x + 3 = 18 \] Next, subtract 3 from both sides to isolate \( x \): \[ x = 15 \] So, the solution is \( x = 15 \). Feel free to reach out if you need this in a more visual format or have further questions!

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