11x - 8y = - 48
Bob's work
- 8y = - 59x
y = 7.375
Bill's work
- 8y = - 11x - 48
y = Pi/8 * x + 6
Bud's work
- 8y = - 11x - 48
y = - 11x + 6
Who solved for y correctly?
f point)
Bud
None of them are correct
Bill
Bob
Bill is the one who solved for y correctly.
To determine who solved for y correctly, we can compare their solutions to the given equation.
Bob's work: -8y = -59x
Bill's work: -8y = -11x - 48
Bud's work: -8y = -11x - 48
Comparing their solutions to the original equation 11x - 8y = -48, we can see that both Bill and Bud have the correct solution.
Bill's solution y = (π/8)x + 6 matches the equation -8y = -11x - 48.
Bud's solution y = -11x + 6 also matches the equation -8y = -11x - 48.
Therefore, Bill and Bud solved for y correctly. Bob's solution does not match the original equation, so he did not solve for y correctly.
The correct answer is:
Bill and Bud solved for y correctly.
To determine who solved for y correctly, we need to substitute the values of y back into the original equation and see which one satisfies it.
Let's start with Bob's work:
-8y = -59x
Divide both sides by -8:
y = (59/8)x
Substituting this value into the original equation:
11x - 8(59/8)x = -48
11x - 59x = -48
-48x = -48
x = 1
Substituting x = 1 into y:
y = (59/8)(1)
y = 59/8 = 7.375
Now let's move on to Bill's work:
-8y = -11x - 48
Divide both sides by -8:
y = (11/8)x + 6
Substituting this value into the original equation:
11x - 8((11/8)x + 6) = -48
11x - 11x - 48 = -48
-48 = -48
Finally, let's consider Bud's work:
-8y = -11x - 48
Divide both sides by -8:
y = (11/8)x + 6
Substituting this value into the original equation:
11x - 8((11/8)x + 6) = -48
11x - 11x - 48 = -48
-48 = -48
Both Bill and Bud's work satisfied the original equation, but Bob's work did not. Therefore, the correct answer is:
Bill.