To manipulate the equation \( y = 5x - 11 \) in terms of \( x \), you need to isolate \( x \) on one side of the equation. Here is how you can do this step-by-step:
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Start with the original equation: \[ y = 5x - 11 \]
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Add 11 to both sides to isolate the term with \( x \): \[ y + 11 = 5x \]
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Now, divide both sides by 5 to solve for \( x \): \[ x = \frac{y + 11}{5} \]
Now, let's rewrite this final equation: \[ x = \frac{y}{5} + \frac{11}{5} \]
None of the answer choices match this exactly, so let's check the answer choices for correctness and clarity:
A. \( x = \frac{y}{11} - 5 \) (incorrect)
B. \( x = \frac{y + 11}{5} \) (correct based on our final equation derivation)
C. \( y - \frac{11}{5} \) (incorrect)
D. \( x = \frac{y}{5} + 11 \) (incorrect)
Therefore, the correct answer is:
B. x = (y + 11) / 5
1 answer