Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l }
x - y = 8 \
2 x + y = 7
\end{array} \right.$
A) (5,3)
B) (-3,5)
C) (5,-3)
D) dependent
E) inconsistent

Question

Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l } 
x - y = 8 \
2 x + y = 7
\end{array} \right.$
A) (5,3)
B) (-3,5)
C) (5,-3)
D) dependent
E) inconsistent

Quizplus · Accepted Answer

Cramer's rule involves using determinants to solve a system of linear equations. The determinant of the coefficient matrix is non-zero, so the system has a unique solution. Solving using Cramer's rule gives x = 5 and y = -3.

Use Cramer S Rule to Solve the System of Equations {x−y=82x+y=7\left\{ \begin{array} { l } x - y = 8 \\2 x + y = 7\end{array} \right.{x−y=82x+y=7​

Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } x - y = 8 \\2 x + y = 7\end{array} \right.$