Provide an Appropriate Response $\{ 5 , - 19 , - 2 \}$

Provide an appropriate response.
-For a certain system of three linear equations, the solution set is $\{ 5 , - 19 , - 2 \}$ , and $D = 13$ . Find the values of $D _ { X }$ , $\mathrm { D } _ { \mathrm { y } }$ , and $\mathrm { D } _ { \mathrm { Z } }$ .

A) $\mathrm { D } _ { \mathrm { X } } = - 247 ; \mathrm { D } _ { \mathrm { y } } = 65 ; \mathrm { D } _ { \mathrm { Z } } = - 26$
B) $\mathrm { D } _ { \mathrm { X } } = 5 ; \mathrm { D } _ { \mathrm { y } } = - 19 ; \mathrm { D } _ { \mathrm { Z } } = - 2$
C) $\mathrm { D } _ { \mathrm { X } } = 65 ; \mathrm { D } _ { \mathrm { y } } = - 247 ; \mathrm { D } _ { \mathrm { Z } } = - 26$
D) $\mathrm { D } _ { \mathrm { X } } = \frac { 13 } { 5 } ; \mathrm { D } _ { \mathrm { y } } = - \frac { 13 } { 19 } ; \mathrm { D } _ { \mathrm { Z } } = - \frac { 13 } { 2 }$

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