Ward Newton
07/14/2023 · Senior High School

If \( 2 X Y=Y Z \), then \( X Y=\frac{1}{2} Y Z \)

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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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