If[img]2015m7x/ct_egreqj_egreqjs_0067_20151[/img], which of the following statem

游客2024-01-12 55

问题 If

, which of the following statements must be true?

选项 A、m = n
B、5m= 4n
C、5m= -4n
D、25m=16n
E、25m = -16n

答案 E

解析 You can simplify each side of the equation

as follows.

So the equation

can be rewritten as

.
Cross multiplying in the rewritten equation gives 20(m + n)= 9(5m + 4n), which simplifies to 20m + 20n = 45m + 36n, or -16n = 25m. Thus the correct answer is Choice E.
This explanation uses the following strategy.
Strategy 5: Simplify an Arithmetic or Algebraic Representation

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