turkey-yks 2015 Q12

turkey-yks · Other · ygs Modulus function Solving equations involving modulus
For real numbers x and y
$$\begin{aligned} & 2 x = 7 - | y | \\ & y = \frac { | x | } { 3 } \end{aligned}$$
Given that, what is the sum $\mathbf { x } + \mathbf { y }$?
A) 12 B) 10 C) 8 D) 6 E) 4
For real numbers x and y

$$\begin{aligned}
& 2 x = 7 - | y | \\
& y = \frac { | x | } { 3 }
\end{aligned}$$

Given that, what is the sum $\mathbf { x } + \mathbf { y }$?

A) 12
B) 10
C) 8
D) 6
E) 4