Question

how would you solve the equation?
$3 = \frac{d}{17}$
add 3 to both sides
divide both sides by 17
multiply both sides by 17
multiply both sides by 3

Explanation:

Step1: Identify the goal

We need to solve for \( d \) in the equation \( 3 = \frac{d}{17} \). The goal is to isolate \( d \) on one side of the equation.

Step2: Use inverse operations

The equation has \( d \) divided by 17. To isolate \( d \), we use the inverse operation of division, which is multiplication. We multiply both sides of the equation by 17.

Step3: Perform the multiplication

Multiply both sides by 17:
\( 3 \times 17 = \frac{d}{17} \times 17 \)

Step4: Simplify both sides

On the right side, \( \frac{d}{17} \times 17 = d \). On the left side, \( 3 \times 17 = 51 \). So we get \( d = 51 \). The operation we used to solve for \( d \) was multiplying both sides by 17.

Answer:

The correct option is "Multiply both sides by 17" (the third option in the given choices, assuming the options are ordered as shown: Add 3 to both sides, Divide both sides by 17, Multiply both sides by 17, Multiply both sides by 3). So in boxed form (indicating the correct operation choice description): \(\boxed{\text{Multiply both sides by 17}}\)