Question 465285
*[tex \LARGE x = \frac{14}{z}]


*[tex \LARGE yz = 7]


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,


*[tex \LARGE yz(\frac{14}{z}) = 7x]


*[tex \LARGE 14y = 7x \Rightarrow \frac{x}{y} = \frac{14}{7} = 2]


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.