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If x/y = u/v, which statement must be true?

A) xu = yv
B) xv = yu
C) xy = uv
D) xu = vy

User Rishy
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1 Answer

3 votes

Final answer:

By cross-multiplying the equation x/y = u/v, we determine that the statement xv = yu must be true, which corresponds to option B.

Step-by-step explanation:

If we start with the equation x/y = u/v, we can cross-multiply to find a relationship between these variables.

Cross-multiplication gives us xv = yu.

Therefore, the correct statement that must be true is option B) xv = yu.

To further illustrate this, when we cross-multiply, we multiply x by v and y by u, resulting in the equation xv = yu.

No other options provided result in an equality when we apply cross-multiplication to the original equation x/y = u/v.

User Tristanm
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