Find All Values of X Satisfying the Given Conditions $y _ { 1 } = \frac { 1 } { x + 5 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 2 } { x ^ { 2 } + 8 x + 15 }$

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = \frac { 1 } { x + 5 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 2 } { x ^ { 2 } + 8 x + 15 }$ , and the sum of $y _ { 1 }$ and 2 times $y _ { 2 }$ is $y 3$ .

A) $\{ 0 \}$
B) $\{ - 5 \}$
C) $\{ 3 \}$
D) $\varnothing$