SOLUTION: If x, y, and z are non-zero integers, x = 14/z and yz= 7, then x/y = A) 0.5 B) 1 C) 2 D) 4 E) 16

SOLUTION: If x, y, and z are non-zero integers, x = 14/z and yz= 7, then x/y = A) 0.5 B) 1 C) 2 D) 4 E) 16

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Question 465285: If x, y, and z are non-zero integers, x = 14/z and yz= 7, then x/y =
A) 0.5
B) 1
C) 2
D) 4
E) 16
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

Suppose we multiply yz by 14/z and 7 by x. This will produce an equality since we are multiplying equal amounts (14/z and x) together. Hence,

Another way you could solve it is simply plug in a random value for z (e.g. z = 1), find x and y, then evaluate x/y. This often works on standardized tests like the SAT but rarely anywhere else.
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