Find All Values of X Satisfying the Given Conditions $y _ { 1 } = x , y _ { 2 } = 9 + x , y _ { 3 } = 3 ( x - 5 ) + 10 x$

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = x , y _ { 2 } = 9 + x , y _ { 3 } = 3 ( x - 5 ) + 10 x$ , and the sum of 8 times $y _ { 1 }$ and 4 times $y _ { 2 }$ equals y3.

A) $\{ - 14 \}$
B) $\{ 14 \}$
C) $\{ - 51 \}$
D) $\{ 51 \}$