To determine who solved for y correctly from the equation \( 11x - 8y = -48 \), we need to convert it to slope-intercept form \( y = mx + b \).
Starting with the given equation: \[ 11x - 8y = -48 \]
We'll first isolate the term involving y: \[ -8y = -11x - 48 \]
Now, dividing every term by -8: \[ y = \frac{11}{8}x + 6 \]
Now, let's compare this with what each person has done:
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Bob's work: He arrived at \(-8y = -59x\) which is incorrect and doesn't help in solving for \(y\), and finally stated \(y = 7.375\), which is not correct.
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Bill's work: He correctly got to \(-8y = -11x - 48\), and then correctly computed the slope-intercept form as \(y = \frac{11}{8}x + 6\), which is correct.
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Bud's work: He also obtained \(-8y = -11x - 48\), but then incorrectly stated \(y = -11x + 6\), which is incorrect because he did not divide by -8 correctly.
The correct transformation gives: \[ y = \frac{11}{8}x + 6 \]
Thus, the correct answer is:
C. Bill