What is the solution of the equation —x/2.9 = —3?

Question

A: 8.6
B: 87
C: —8.7
D: —87

Answer 1

To solve the equation \(-\frac{x}{2.9} = -3\), we can follow these steps:

1. Eliminate the negative sign from both sides: \(\frac{x}{2.9} = 3\)

2. Now, multiply both sides by 2.9 to solve for \(x\): \(x = 3 \times 2.9\)

3. Calculate the right side: \(x = 8.7\)

Now we have \(x = 8.7\).

Since we are looking for the value from the given options that matches our calculation, the correct answer from the choices given is:

C: —8.7 (which is the negative of our calculated value)

Thus, the solution is \(C: —8.7\).