Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { l }
x + y = - 1 \
x + y = - 6
\end{array}$$
A) $\{ ( 0 , - 7 ) \}$
B) $\{ ( - 1 , - 6 ) \}$
C) Cramer's rule does not apply since $D = 0 ; \{ ( - 6 - y , y ) \}$
D) Cramer's rule does not apply since $D = 0 ; \varnothing$

Question

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { l } 
x + y = - 1 \
x + y = - 6
\end{array}$$
A) $\{ ( 0 , - 7 ) \}$
B) $\{ ( - 1 , - 6 ) \}$
C) Cramer's rule does not apply since $D = 0 ; \{ ( - 6 - y , y ) \}$
D) Cramer's rule does not apply since $D = 0 ; \varnothing$

Quizplus · Accepted Answer

Cramer's rule cannot be applied because the determinant $D = 0$, indicating the system of equations is either dependent or inconsistent. In this case, since both equations are parallel (same coefficients for x and y but different constants), there is no point of intersection, leading to no solution ($\varnothing$).

Use Cramer's Rule to Solve the System of Equations x+y=−1x+y=−6\begin{array} { l } x + y = - 1 \\x + y = - 6\end{array}x+y=−1x+y=−6​

Use Cramer's Rule to Solve the System of Equations $\begin{array} { l } x + y = - 1 \\x + y = - 6\end{array}$