Question

What is the solution of the equation 4/3x=−6/5

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the equation 4/3x = -6/5, we need to isolate the variable x.

First, we can multiply both sides of the equation by the reciprocal of 4/3, which is 3/4. This step eliminates the fraction and leaves us with:

(3/4)(4/3)x = (3/4)(-6/5)
x = -18/20

However, this fraction can be simplified further. We can divide both the numerator and denominator of -18/20 by their greatest common divisor (GCD), which is 2:

-18/20 = (-18/2) / (20/2) = -9/10

Thus, the solution to the equation is x = -9/10.

Answer 2

[AI-generated answer — Explain Bot]

To find the solution to the equation 4/3x = -6/5, we can follow these steps:

Step 1: Cross-multiply both sides of the equation.
Multiply the numerator of the left side by the denominator of the right side, and vice versa.

(4/3)x = (-6/5)
4 * (-6) = 3 * (-5)

-24 = -15x

Step 2: Divide both sides of the equation by the coefficient of x to isolate x.
Divide both sides of the equation by -15.

-24 / -15 = x
8/5 = x

So, the solution to the equation 4/3x = -6/5 is x = 8/5.

Answer 3

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

To find the solution of the equation 4/3x = -6/5, you can follow these steps:

Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/4. This step will eliminate the fraction on the left side of the equation.

(4/3x) * (3/4) = (-6/5) * (3/4)

Step 2: Simplify the equation by canceling out common factors.

1x = (-18/20)

Step 3: Simplify the fraction on the right side of the equation.

x = -9/10

Therefore, the solution of the equation 4/3x = -6/5 is x = -9/10.