Provide an appropriate response.
-For a certain system of two linear equations, the values of the determinants used in Cramer's rule are $D = 26$, $D _ { x } = 23$, and $D _ { y } = - 13$. What is the solution set of the system?
A) $\left\{ \left( \frac { 26 } { 23 } , - 2 \right) \right\}$
B) $\left\{ \left( \frac { 23 } { 26 } , - \frac { 1 } { 2 } \right) \right\}$
C) $\{ ( 23 , - 13 ) \}$
D) $\left\{ \left( - \frac { 1 } { 2 } , \frac { 23 } { 26 } \right) \right\}$

Question

Quizplus · Accepted Answer

Cramer's rule states that for a system of two linear equations, the solution can be found using the formula $x = \frac{D_x}{D}$ and $y = \frac{D_y}{D}$. Substituting the given values, $x = \frac{23}{26}$ and $y = \frac{-13}{26} = -\frac{1}{2}$, which matches choice B.

Provide an Appropriate Response D=26D = 26D=26 Dx=23D _ { x } = 23Dx​=23

Provide an Appropriate Response $D = 26$ $D _ { x } = 23$