Use Cramer's Rule to solve (if possible)the system of equations.? $$\left\{ \begin{array} { r }
- 0.4 x + 0.8 y = 1.6 \
0.2 x + 0.3 y = 2.3
\end{array} \right.$$ ?
A) $$\left( - \frac { 34 } { 7 } , - \frac { 31 } { 7 } \right)$$
B) $$\left( \frac { 34 } { 7 } , \frac { 31 } { 7 } \right)$$
C) $$\left( \frac { 34 } { 7 } , - \frac { 31 } { 7 } \right)$$
D) $$\left( \frac { 31 } { 7 } , \frac { 34 } { 7 } \right)$$
E) $$\left( - \frac { 34 } { 7 } , \frac { 31 } { 7 } \right)$$

Question

Use Cramer's Rule to solve (if possible)the system of equations.? $$\left\{ \begin{array} { r } 
- 0.4 x + 0.8 y = 1.6 \
0.2 x + 0.3 y = 2.3
\end{array} \right.$$ ?
A) $$\left( - \frac { 34 } { 7 } , - \frac { 31 } { 7 } \right)$$
B) $$\left( \frac { 34 } { 7 } , \frac { 31 } { 7 } \right)$$
C) $$\left( \frac { 34 } { 7 } , - \frac { 31 } { 7 } \right)$$
D) $$\left( \frac { 31 } { 7 } , \frac { 34 } { 7 } \right)$$
E) $$\left( - \frac { 34 } { 7 } , \frac { 31 } { 7 } \right)$$

Quizplus · Accepted Answer

Cramer's Rule involves calculating determinants to solve a system of linear equations. For this system, the determinant of the coefficient matrix and the determinants of matrices with substituted columns are calculated. The correct solution, based on these calculations, is $\left( \frac { 34 } { 7 } , \frac { 31 } { 7 } \right)$.

Use Cramer's Rule to Solve (If Possible)the System of Equations {−0.4x+0.8y=1.60.2x+0.3y=2.3\left\{ \begin{array} { r } - 0.4 x + 0.8 y = 1.6 \\0.2 x + 0.3 y = 2.3\end{array} \right.{−0.4x+0.8y=1.60.2x+0.3y=2.3​

Use Cramer's Rule to Solve (If Possible)the System of Equations $\left\{ \begin{array} { r } - 0.4 x + 0.8 y = 1.6 \\0.2 x + 0.3 y = 2.3\end{array} \right.$