To manipulate the equation \( y = 5x - 11 \) to be in terms of \( x \), we can follow these steps:
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Add 11 to both sides: \[ y + 11 = 5x \]
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Divide both sides by 5: \[ x = \frac{y + 11}{5} \]
Now, let's determine which of the given options matches this equation:
A. \[ x = \frac{y}{11} - 5 \quad (\text{not equivalent}) \]
B. \[ x = \frac{y + 11}{5} \quad (\text{equivalent}) \]
C. \[ x = \frac{y - 11}{5} \quad (\text{not equivalent}) \]
D. \[ x = \frac{y}{5} + 11 \quad (\text{not equivalent}) \]
The equation that is equivalent to \( y = 5x - 11 \) is:
B. \( x = \frac{y + 11}{5} \)