Use Cramer's rule to solve the system.
-$$\begin{array} { l }
2 x + 5 y = 43 \
2 x + 2 y = 22
\end{array}$$
A) $\{ ( 4,7 ) \}$
B) $\{ ( 7,4 ) \}$
C) $\{ ( - 7,4 ) \}$
D) $\{ ( 4 , - 7 ) \}$

Question

Use Cramer's rule to solve the system.
-$$\begin{array} { l } 
2 x + 5 y = 43 \
2 x + 2 y = 22
\end{array}$$
A) $\{ ( 4,7 ) \}$
B) $\{ ( 7,4 ) \}$
C) $\{ ( - 7,4 ) \}$
D) $\{ ( 4 , - 7 ) \}$

Quizplus · Accepted Answer

Cramer's rule gives $ x = \frac{\begin{vmatrix} 43 & 5 \\ 22 & 2 \end{vmatrix}}{\begin{vmatrix} 2 & 5 \\ 2 & 2 \end{vmatrix}} = \frac{86 - 110}{4 - 10} = 4 $ and $ y = \frac{\begin{vmatrix} 2 & 43 \\ 2 & 22 \end{vmatrix}}{\begin{vmatrix} 2 & 5 \\ 2 & 2 \end{vmatrix}} = \frac{44 - 86}{4 - 10} = 7 $.

Use Cramer's Rule to Solve the System 2x+5y=432x+2y=22\begin{array} { l } 2 x + 5 y = 43 \\2 x + 2 y = 22\end{array}2x+5y=432x+2y=22​

Use Cramer's Rule to Solve the System $\begin{array} { l } 2 x + 5 y = 43 \\2 x + 2 y = 22\end{array}$