Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l }
x + 4 y = 12 \
\frac { 1 } { 2 } x - y = - 10
\end{array} \right.$$
A) $\left( - \frac { 28 } { 3 } , \frac { 16 } { 3 } \right)$
B) $\left( \frac { 52 } { 3 } , \frac { 56 } { 3 } \right)$
C) $( 28,24 )$
D) not possible

Question

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l } 
x + 4 y = 12 \
\frac { 1 } { 2 } x - y = - 10
\end{array} \right.$$
A) $\left( - \frac { 28 } { 3 } , \frac { 16 } { 3 } \right)$
B) $\left( \frac { 52 } { 3 } , \frac { 56 } { 3 } \right)$
C) $( 28,24 )$
D) not possible

Quizplus · Accepted Answer

Cramer's Rule can be applied because the system of equations is linear with two variables and two equations. The determinant of the coefficient matrix is non-zero, allowing for the use of Cramer's Rule to find the solution.

Use Cramer's Rule, If Possible, to Solve the System of Linear