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

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 multiply both sides of the equation by 4. Hank divided by 4 instead of multiplying.

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 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.

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.

1 answer

Hank made a mistake in Step 1. The correct operation to isolate the term involving \( x \) in the equation \( 25 = \frac{x}{4} - 9 \) would be to add 9 to both sides of the equation. Instead, Hank incorrectly arrived at \( 16 = \frac{x}{4} \) which implies he subtracted 9. Therefore, the correct response is:

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.

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