Provide an appropriate response.
-For a certain system of two linear equations, the values of the determinants used in Cramer's rule are $\mathrm { D } = 23 , \mathrm { D } _ { \mathrm { x } } = 29$, and $\mathrm { D } _ { \mathrm { y } } = - 13$. What is the solution set of the system?
A) $\{ ( 29 , - 13 ) \}$
B) $\left\{ \left( \frac { 23 } { 29 } , - \frac { 23 } { 13 } \right) \right\}$
C) $\left\{ \left( \frac { 29 } { 23 } , - \frac { 13 } { 23 } \right) \right\}$
D) $\left\{ \left( - \frac { 13 } { 23 } , \frac { 29 } { 23 } \right) \right\}$

Question

Quizplus · Accepted Answer

Cramer's rule states that for a system of two linear equations, the solution for the variables can be found using the determinants: $x = \frac{D_x}{D}$ and $y = \frac{D_y}{D}$. Given $D = 23$, $D_x = 29$, and $D_y = -13$, the solution is $x = \frac{29}{23}$ and $y = \frac{-13}{23}$, which matches choice C.

Provide an Appropriate Response D=23,Dx=29\mathrm { D } = 23 , \mathrm { D } _ { \mathrm { x } } = 29D=23,Dx​=29

Provide an Appropriate Response $\mathrm { D } = 23 , \mathrm { D } _ { \mathrm { x } } = 29$