Question

What is the solution of the equation 8/5x = −10 ?(1 point)Responses

−5/8
−1/16
-16
- 25/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we can start by multiplying both sides of the equation by 5/8 to isolate x.

(5/8)(8/5x) = (5/8)(-10)

The 8/5 and 5/8 cancel out on the left side, leaving us with:

x = (-10)(5/8)

Multiplying -10 by 5/8 gives us:

x = -50/8

Simplifying the fraction:

x = -25/4

Therefore, the solution to the equation 8/5x = -10 is -25/4. So the correct response is - 25/4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation 8/5x = -10, we need to isolate x on one side.

Step 1: Multiply both sides of the equation by 5 to get rid of the fraction:
(8/5)x * 5 = -10 * 5
8x = -50

Step 2: Divide both sides of the equation by 8:
(8x)/8 = (-50)/8
x = -50/8

Simplifying the fraction -50/8 gives us:
x = -25/4

Therefore, the solution to the equation 8/5x = -10 is x = -25/4.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution of the equation 8/5x = -10, we need to isolate the variable "x". First, let's multiply both sides of the equation by 5/8 to eliminate the fraction:

(5/8) * (8/5x) = (5/8) * (-10)

On the left side of the equation, the 5/8 and 8/5 will cancel out, leaving just x:

x = (5/8) * (-10)

Now, we can simplify the right side of the equation:

x = -50/8

To express the solution in the simplest form, we can divide the numerator and denominator by their greatest common divisor, which is 2:

x = (-50/2) / (8/2)

x = -25/4

Therefore, the solution to the equation 8/5x = -10 is -25/4.