turkey-yks 2017 Q6

turkey-yks · Other · ygs Modulus function Solving equations involving modulus
For non-zero real numbers $x$ and $y$
$$\begin{aligned} & | x \cdot y | = - 2 x \\ & \left| \frac { y } { x } \right| = 3 y \end{aligned}$$
the following equalities are given.
Accordingly, what is the sum $x + y$?
A) $\frac { 3 } { 2 }$ B) $\frac { 5 } { 2 }$ C) $\frac { 5 } { 3 }$ D) $\frac { 7 } { 3 }$ E) $\frac { 5 } { 6 }$
For non-zero real numbers $x$ and $y$

$$\begin{aligned} & | x \cdot y | = - 2 x \\ & \left| \frac { y } { x } \right| = 3 y \end{aligned}$$

the following equalities are given.

Accordingly, what is the sum $x + y$?

A) $\frac { 3 } { 2 }$
B) $\frac { 5 } { 2 }$
C) $\frac { 5 } { 3 }$
D) $\frac { 7 } { 3 }$
E) $\frac { 5 } { 6 }$