turkey-yks 2013 Q10

turkey-yks · Other · ygs Modulus function Solving equations involving modulus
For real numbers $\mathbf { x }$ and $\mathbf { y }$
$$\begin{aligned} & y - x = 1 \\ & y - | x - y | = 2 \end{aligned}$$
Given this, what is the sum $\mathbf { x } + \mathbf { y }$?
A) 5
B) 6
C) 7
D) 8
E) 9
For real numbers $\mathbf { x }$ and $\mathbf { y }$

$$\begin{aligned}
& y - x = 1 \\
& y - | x - y | = 2
\end{aligned}$$

Given this, what is the sum $\mathbf { x } + \mathbf { y }$?\\
A) 5\\
B) 6\\
C) 7\\
D) 8\\
E) 9