Question
3 divided by __ multiplied by __ equals 8
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{3}{x} \times y = 8 \), we can manipulate it to find a relationship between \( x \) and \( y \).
First, rearrange the equation:
\[
\frac{3y}{x} = 8
\]
Now, multiply both sides by \( x \):
\[
3y = 8x
\]
Next, divide both sides by 3:
\[
y = \frac{8}{3} x
\]
This shows that \( y \) is equal to \( \frac{8}{3} \) times \( x \).
If you'd like specific pairs of values for \( x \) and \( y \), you can choose any value for \( x \), and you can find the corresponding \( y \) using the equation \( y = \frac{8}{3} x \). For example:
1. If \( x = 3 \), then \( y = \frac{8}{3} \times 3 = 8 \).
2. If \( x = 6 \), then \( y = \frac{8}{3} \times 6 = 16 \).
Thus, there are infinitely many pairs \( (x, y) \) that satisfy the equation.
First, rearrange the equation:
\[
\frac{3y}{x} = 8
\]
Now, multiply both sides by \( x \):
\[
3y = 8x
\]
Next, divide both sides by 3:
\[
y = \frac{8}{3} x
\]
This shows that \( y \) is equal to \( \frac{8}{3} \) times \( x \).
If you'd like specific pairs of values for \( x \) and \( y \), you can choose any value for \( x \), and you can find the corresponding \( y \) using the equation \( y = \frac{8}{3} x \). For example:
1. If \( x = 3 \), then \( y = \frac{8}{3} \times 3 = 8 \).
2. If \( x = 6 \), then \( y = \frac{8}{3} \times 6 = 16 \).
Thus, there are infinitely many pairs \( (x, y) \) that satisfy the equation.