Question

To solve the equation 5/8(x−1/2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 5/8(x-1/2) = 10, the first step is to reverse the multiplication by multiplying both sides by the reciprocal of 5/8, which is 8/5. So, both sides should be divided by 8/5.

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation 5/8(x−1/2) = 10, the first step is indeed to reverse the multiplication. This means we need to divide both sides of the equation by the coefficient of the variable, which is 5/8.

To do this, we can multiply both sides of the equation by the reciprocal of 5/8, which is 8/5. This reciprocal is found by flipping the fraction upside down, so that the numerator becomes the denominator and vice versa.

So, we divide both sides of the equation by 5/8:

(5/8(x−1/2)) * (8/5) = 10 * (8/5)

By simplifying the left side of the equation, the fractions cancel out:

(x−1/2) = (8/1) * (10/5)

Now, simplifying the right side of the equation:

(x−1/2) = 16/1

Therefore, the number that both sides of the equation should be divided by is 5/8, or alternatively multiplied by 8/5.

Answer 3

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

To solve the equation 5/8(x-1/2) = 10, the first step is indeed to reverse the multiplication by dividing both sides of the equation by the coefficient of x, which is 5/8. Therefore, both sides should be divided by 5/8.