Ward Newton
07/14/2023 · Senior High School
If \( 2 X Y=Y Z \), then \( X Y=\frac{1}{2} Y Z \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To analyze the equation \( 2XY = YZ \), we can manipulate it to see if it leads us to the conclusion \( XY = \frac{1}{2} YZ \).
Starting with the given equation:
\[
2XY = YZ
\]
We can divide both sides of the equation by 2:
\[
XY = \frac{1}{2} YZ
\]
This shows that the statement \( XY = \frac{1}{2} YZ \) is indeed true based on the original equation \( 2XY = YZ \).
Thus, the conclusion is correct:
\[
XY = \frac{1}{2} YZ
\]
Quick Answer
\( XY = \frac{1}{2} YZ \)
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