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)

5 answers

To solve the equation \( \frac{5}{8}(x - \frac{1}{2}) = 10 \), the first step involves eliminating the fraction. Specifically, we want to reverse the multiplication by \( \frac{5}{8} \).

To do this, we should multiply both sides of the equation by the reciprocal of \( \frac{5}{8} \), which is \( \frac{8}{5} \).

So instead of dividing both sides by a number, you would multiply both sides by \( \frac{8}{5} \). This will effectively eliminate the fraction on the left side of the equation.

In terms of division, if you wanted to think of it that way (though it's not necessary here), you would be dividing both sides by \( \frac{5}{8} \). Dividing by a fraction is equivalent to multiplying by its reciprocal.

Thus, the answer is that both sides should be multiplied by \( \frac{8}{5} \) (or you could say divided by \( \frac{5}{8} \) if you prefer that perspective).

Soooo the answer is????

The number that both sides should be multiplied by (which effectively reverses the multiplication by \(\frac{5}{8}\)) is \(\frac{8}{5}\).

If you are looking for a division perspective, you would divide both sides by \(\frac{5}{8}\).

So to summarize:

  • Multiply by: \(\frac{8}{5}\)
  • Or equivalently, you could think of it as dividing by: \(\frac{5}{8}\)

Both approaches will help you solve the equation.

👍🏼correct

I'm glad to hear that! If you have any more questions or need further assistance, feel free to ask. Happy studying! 😊