Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
x+y=1
x+y=5
A) Cramer's rule does not apply since $D = 0 ; \varnothing$
B) $\{ ( 1,5 ) \}$
C) $\{ ( 0,6 ) \}$
D) Cramer's rule does not apply since $\mathrm { D } = 0 ; \{ ( 5 - \mathrm { y } , \mathrm { y } ) \}$

Question

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
x+y=1 
x+y=5
A) Cramer's rule does not apply since $D = 0 ; \varnothing$
B) $\{ ( 1,5 ) \}$
C) $\{ ( 0,6 ) \}$
D) Cramer's rule does not apply since $\mathrm { D } = 0 ; \{ ( 5 - \mathrm { y } , \mathrm { y } ) \}$

Quizplus · Accepted Answer

Cramer's rule cannot be applied when the determinant $D = 0$, which is the case here since the equations are parallel (same coefficients for x and y) and have different constants (1 and 5), indicating no solution ($\varnothing$).

Use Cramer's Rule to Solve the System of Equations D=0;∅D = 0 ; \varnothingD=0;∅

Use Cramer's Rule to Solve the System of Equations $D = 0 ; \varnothing$