Question

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 ) 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 divide both sides of the equation by 4. Hank multiplied by 4 instead of dividing Hank made a mistake in Step 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

Answer 1

Hank made a mistake in Step 1. The correct first step to solve the equation \( 25 = \frac{x}{4} - 9 \) would be to add 9 to both sides of the equation.

Thus, the right approach would start like this:

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

Hank incorrectly subtracted 9 instead of adding it, which led him to the wrong calculation. So the correct answer 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.