Use an inverse matrix to solve (if possible) the system of linear equations. $$\left\{ \begin{array} { l }
18 x + 12 y = 14 \
30 x + 24 y = 24
\end{array} \right.$$
A) ( $\frac { 5 } { 6 }$ , $\frac { 1 } { 6 }$ )
B) ( 4, $\frac { 1 } { 6 }$ )
C) ( $\frac { 2 } { 3 }$ , $\frac { 1 } { 6 }$ )
D) ( $\frac { 2 } { 3 }$ , $\frac { 1 } { 4 }$ )
E) ( $\frac { 2 } { 3 }$ , 3 )

Question

Use an inverse matrix to solve (if possible) the system of linear equations.   $$\left\{ \begin{array} { l } 
18 x + 12 y = 14 \
30 x + 24 y = 24
\end{array} \right.$$
A) ( $\frac { 5 } { 6 }$ , $\frac { 1 } { 6 }$ )
B) ( 4, $\frac { 1 } { 6 }$ )
C) ( $\frac { 2 } { 3 }$ , $\frac { 1 } { 6 }$ )
D) ( $\frac { 2 } { 3 }$ , $\frac { 1 } { 4 }$ )
E) ( $\frac { 2 } { 3 }$ , 3 )

Quizplus · Accepted Answer

The inverse matrix method involves finding the inverse of the coefficient matrix and multiplying it by the constant matrix. The solution (x, y) is (2/3, 1/6).

Use an Inverse Matrix to Solve (If Possible) the System {18x+12y=1430x+24y=24\left\{ \begin{array} { l } 18 x + 12 y = 14 \\30 x + 24 y = 24\end{array} \right.{18x+12y=1430x+24y=24​

Use an Inverse Matrix to Solve (If Possible) the System $\left\{ \begin{array} { l } 18 x + 12 y = 14 \\30 x + 24 y = 24\end{array} \right.$