Use Cramer's Rule to solve (if possible)the system of equations.? $$\left\{ \begin{array} { r }
- 0.4 x + 0.8 y = 5.52 \
0.2 x + 0.3 y = 2.63
\end{array} \right.$$ ?
A) $$\left( \frac { 77 } { 10 } , \frac { 8 } { 5 } \right)$$
B) $$\left( \frac { 8 } { 5 } , \frac { 77 } { 10 } \right)$$
C) $$\left( - \frac { 8 } { 5 } , - \frac { 77 } { 10 } \right)$$
D) $$\left( \frac { 8 } { 5 } , - \frac { 77 } { 10 } \right)$$
E) $$\left( - \frac { 8 } { 5 } , \frac { 77 } { 10 } \right)$$

Question

Use Cramer's Rule to solve (if possible)the system of equations.? $$\left\{ \begin{array} { r } 
- 0.4 x + 0.8 y = 5.52 \
0.2 x + 0.3 y = 2.63
\end{array} \right.$$ ?
A) $$\left( \frac { 77 } { 10 } , \frac { 8 } { 5 } \right)$$
B) $$\left( \frac { 8 } { 5 } , \frac { 77 } { 10 } \right)$$
C) $$\left( - \frac { 8 } { 5 } , - \frac { 77 } { 10 } \right)$$
D) $$\left( \frac { 8 } { 5 } , - \frac { 77 } { 10 } \right)$$
E) $$\left( - \frac { 8 } { 5 } , \frac { 77 } { 10 } \right)$$

Quizplus · Accepted Answer

Cramer's Rule involves calculating determinants to solve a system of linear equations. For the given system, the determinant of the coefficient matrix and the determinants for the matrices with the constants substituted in the place of each variable's coefficients are calculated. The solution for $x$ and $y$ using Cramer's Rule matches choice B, indicating the correct solution is $\left( \frac { 8 } { 5 } , \frac { 77 } { 10 } \right)$.

Use Cramer's Rule to Solve (If Possible)the System of Equations {−0.4x+0.8y=5.520.2x+0.3y=2.63\left\{ \begin{array} { r } - 0.4 x + 0.8 y = 5.52 \\0.2 x + 0.3 y = 2.63\end{array} \right.{−0.4x+0.8y=5.520.2x+0.3y=2.63​

Use Cramer's Rule to Solve (If Possible)the System of Equations $\left\{ \begin{array} { r } - 0.4 x + 0.8 y = 5.52 \\0.2 x + 0.3 y = 2.63\end{array} \right.$