Question

part b
which of the following equations is a multiplication equation and has a solution of \\(\frac{-4}{5}\\)?

a) \\(4x = -5\\)

b) \\(4x = 5\\)

c) \\(5x = 4\\)

d) \\(-5x = 4\\)

Explanation:

Step 1: Solve Option A

For equation \(4x = -5\), divide both sides by 4: \(x=\frac{-5}{4}\). Not the solution.

Step 2: Solve Option B

For equation \(4x = 5\), divide both sides by 4: \(x = \frac{5}{4}\). Not the solution.

Step 3: Solve Option C

For equation \(5x = 4\), divide both sides by 5: \(x=\frac{4}{5}\). Not the solution.

Step 4: Solve Option D

For equation \(-5x = 4\), divide both sides by \(-5\): \(x=\frac{4}{-5}=-\frac{4}{5}\). This matches the required solution.

Answer:

D. \(-5x = 4\)