11. Change the equation from standard form to slope-intercept form by solving for y.

Question

11x−8y=−48
Bob's work:

−8y=−59x
y=7.375
Bill's work:

−8y=−11x−48
y=118x+6
Bud's work:

−8y=−11x−48
y=−11x+6
Who solved for y correctly?

(1 point)
Responses

Bill
Bill

None of them are correct
None of them are correct

Bud
Bud

Bob

Answer 1

To determine who solved the equation correctly, let's start with the given equation and solve for \(y\).

The original equation is:

\[ 11x - 8y = -48 \]

We will isolate \(y\):

1. First, subtract \(11x\) from both sides:

\[ -8y = -11x - 48 \]

2. Next, divide each term by -8:

\[ y = \frac{11}{8}x + 6 \]

Now, let's compare this result to the work provided by Bob, Bill, and Bud:

• Bob's solution:

  • \(y = 7.375\) (This is incorrect as it does not represent the general solution for \(y\).)

• Bill's solution:

  • \(y = 118x + 6\) (This is incorrect due to the wrong coefficient for \(x\).)

• Bud's solution:

  • \(y = -11x + 6\) (This is incorrect because he incorrectly managed the signs and coefficients.)

Since none of them arrived at the correct solution, the correct response is:

None of them are correct.