Question

Solve this linear system using determinants

Answer 1

Answer:

The value of X = 3   And Y = 4  

Step-by-step explanation:

Given the linear system as :

2x + 3y = 6

-8x - 3y = 12

Apply Determinant method :

Dx = $\begin{bmatrix}3 &6 \\ -3 & 12\end{bmatrix}$

Dy = $\begin{bmatrix}2 &6 \\ -8 & 12\end{bmatrix}$

D =  $\begin{bmatrix}2 &3 \\ -8 & -3\end{bmatrix}$

Or Dx = ( 36 + 18) = 54           Dy = (24 + 48) = 72     D = ( -6 +24) = 18

So, X = $\frac{Dx}{D}$ = $\frac{54}{18}$ = 3

And Y = $\frac{Dy}{D}$ = $\frac{72}{18}$ = 4

Hence the value of X =  3  And Y = 4  Answer