If xy = 10 + z, then

xy = 10

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x + y = 10x

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2xy = 2(10 + z) + 5

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xy + 5 = 10 + 5 + z

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Solution

The correct option is D xy + 5 = 10 + 5 + z
Given that xy = 10 + z.
Now, by Euclid's second axiom, which states that if equals are added to equals, then wholes are equal, we can add 5 to the two quantities that are equal.
$∴ x y + 5 = 10 + z + 5$
Thus, $x y + 5 = 10 + 5 + z$ is true.
Hence, the correct answer is option (d).

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