Hank's work to solve the equation 25=x/4 − 9

Question

is shown below. In which step did Hank make a mistake, and what mistake did he make?

25=x/4 − 9
Step 1: 16=x/4
Step 2: x=64
(1 point)
Responses

Hank made a mistake in Step 1. The first step needed to solve this correctly would be to add 9 to both sides of the equation. Hank subtracted 9 instead of adding 9.

Hank made a mistake in Step 1. The first step needed to solve this correctly would be to multiply both sides of the equation by 4. Hank divided by 4 instead of multiplying.

Hank made a mistake in Step 2. The second step needed to solve this correctly would be to subtract 9 to both sides of the equation. Hank added 9 instead of subtracting 9.

Hank made a mistake in Step 2. The second step needed to solve this correctly would be to divide both sides of the equation by 4. Hank multiplied by 4 instead of dividing.

Answer 1

Hank made a mistake in Step 1. The first step needed to solve this correctly would be to add 9 to both sides of the equation. Hank subtracted 9 instead of adding 9.

The equation should be solved as follows:

1. Start with the original equation: \( 25 = \frac{x}{4} - 9 \)

2. Add 9 to both sides: \( 25 + 9 = \frac{x}{4} \) \( 34 = \frac{x}{4} \)

3. Then, multiply both sides by 4 to solve for \( x \): \( x = 34 \times 4 = 136 \)

Hank incorrectly subtracted 9 in Step 1, resulting in an incorrect equation.