Questions: Solve this equation by undoing. Make sure your answer is fully reduced. 1/7 x = 41

Solve this equation by undoing. Make sure your answer is fully reduced. 1/7 x = 41
Transcript text: Solve this equetion by undeing. Mate sure your answer is fully reduced. \[ \frac{1}{7} x=41 \]
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Solution

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Solution Steps

To solve the equation \(\frac{1}{7} x = 41\), we need to isolate \(x\). This can be done by multiplying both sides of the equation by 7, which is the reciprocal of \(\frac{1}{7}\). This will give us the value of \(x\).

Step 1: Isolate \( x \)

To solve the equation \(\frac{1}{7} x = 41\), we need to isolate \( x \). This can be done by multiplying both sides of the equation by 7, which is the reciprocal of \(\frac{1}{7}\).

Step 2: Perform the Multiplication

Multiply both sides of the equation by 7: \[ x = 41 \times 7 \]

Step 3: Calculate the Result

Perform the multiplication: \[ x = 287 \]

Final Answer

\(\boxed{x = 287}\)

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