Use Cramer's rule to solve the system.
-$6 x + 5 y = 2$ $5 x + y = - 11$
A) $\{ ( - 3,4 ) \}$
B) $\{ ( 4 , - 3 ) \}$
C) $\{ ( - 4 , - 3 ) \}$
D) $\{ ( - 3 , - 4 ) \}$

Question

Quizplus · Accepted Answer

Cramer's rule involves calculating determinants. The determinant of the coefficient matrix (D) is $6(1) - 5(5) = 6 - 25 = -19$. For $x$, replace the x-column with the constants to get $D_x = 2(1) - 5(-11) = 2 + 55 = 57$, so $x = D_x / D = 57 / -19 = -3$. For $y$, replace the y-column with the constants to get $D_y = 6(-11) - 5(2) = -66 - 10 = -76$, so $y = D_y / D = -76 / -19 = 4$. Thus, the solution is $(-3, 4)$.

Use Cramer's Rule to Solve the System 6x+5y=26 x + 5 y = 26x+5y=2

Use Cramer's Rule to Solve the System $6 x + 5 y = 2$