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VIII. \( 9 x-5=50 \)

Ask by Campos Love. in the United States
Feb 18,2025

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Tutor-Verified Answer

Answer

\( x = \frac{55}{9} \) or \( x = 6.1 \).

Solution

Solve the equation \( 9x-5=50 \). Solve the equation by following steps: - step0: Solve for \(x\): \(9x-5=50\) - step1: Move the constant to the right side: \(9x=50+5\) - step2: Add the numbers: \(9x=55\) - step3: Divide both sides: \(\frac{9x}{9}=\frac{55}{9}\) - step4: Divide the numbers: \(x=\frac{55}{9}\) The solution to the equation \(9x - 5 = 50\) is \(x = \frac{55}{9}\) or \(x = 6.1\).

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The Deep Dive

To solve the equation \( 9x - 5 = 50 \), you'll want to isolate \( x \). Start by adding 5 to both sides to get \( 9x = 55 \). Then, divide both sides by 9 to find \( x = \frac{55}{9} \), which simplifies to approximately 6.11. This problem demonstrates a simple linear equation that can be encountered in everyday situations, like budgeting or planning events. For example, if you’re saving money and want to figure out how much you need to save monthly to reach a goal, these types of equations can help you find the answer!

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