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

Algebra ->  Expressions-with-variables -> 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      Log On


   

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) About Me  (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.