Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio

[M7MBA]

Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio \(x:y:z?\)

(1) \(x + y = 2z\)
(2) \(2x + 3y = z\)

Answer: C

Source: Manhattan GMAT