Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l }
x + y = 8 \
x - y = 6
\end{array} \right.$
A) (1,7)
B) (7,1)
C) (8,6)
D) dependent
E) inconsistent

Question

Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l } 
x + y = 8 \
x - y = 6
\end{array} \right.$
A) (1,7)
B) (7,1)
C) (8,6)
D) dependent
E) inconsistent

Quizplus · Accepted Answer

Cramer's rule involves using determinants to solve a system of linear equations. For the given system, the determinant of the coefficient matrix is non-zero, which means the system has a unique solution. Solving it using Cramer's rule or by simple algebraic manipulation (adding the two equations to eliminate $y$, for example) gives $x = 7$ and $y = 1$, which corresponds to choice B.

Use Cramer S Rule to Solve the System of Equations {x+y=8x−y=6\left\{ \begin{array} { l } x + y = 8 \\x - y = 6\end{array} \right.{x+y=8x−y=6​

Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } x + y = 8 \\x - y = 6\end{array} \right.$