To determine who is correct, let's analyze the given equation step by step:
The original equation is:
\[ 5 - \frac{2x - 1}{3} = 4 \]
To isolate the term \(-\frac{2x - 1}{3}\), we first need to subtract 5 from both sides of the equation:
\[ -\frac{2x - 1}{3} = 4 - 5 \]
Calculating the right side:
\[ -\frac{2x - 1}{3} = -1 \]
Now, we have:
\[ -\frac{2x - 1}{3} = -1 \]
Now let's compare this with the claims of Javon and Ivy:
- Javon's first step: \(-\frac{2x - 1}{3} = 9\)
- Ivy's first step: \(-\frac{2x - 1}{3} = -1\)
Ivy's conclusion is correct because, after subtracting 5 from both sides, the equation simplifies to \(-\frac{2x - 1}{3} = -1\).
Javon is incorrect because the calculation of \(4 - 5\) is \(-1\), not \(9\).
So, in conclusion:
Javon is incorrect. Ivy is correct.