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Basic Mathematics
QUESTION #7989
Question 1
If \(xy = 2\) and \(xy^2 = 8\), what is the value of \(x\)?
Correct Answer Explanation
From \(xy = 2\): \(x = \dfrac{2}{y}\)
Substituting into \(xy^2 = 8\): \(\dfrac{2}{y} \times y^2 = 8 \Rightarrow 2y = 8 \Rightarrow y = 4\)
Then \(x = \dfrac{2}{4} = 0.5\)
Substituting into \(xy^2 = 8\): \(\dfrac{2}{y} \times y^2 = 8 \Rightarrow 2y = 8 \Rightarrow y = 4\)
Then \(x = \dfrac{2}{4} = 0.5\)
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