Answer:
x= 3
y=2
Explanation:
-3x + 9y = 9 ----------- equation 1
3x + 2y = 13--------------- equation 2
In Matrix Form
Let A =
X =
and B =
Then Mathematically AX= B
or X= A⁻¹ B
Where A⁻¹ = Adjacent A/ mod of A
Adjacent A =
Mod Of A= -6 - (27) = -33 which is not equal to zero
so Putting These values in the given formula
X= 1/-33
Now Multiplying Rows and Columns
= -1/33
![\left[\begin{array}{cc}2*9+- 9*13\\-3*9 +- 3*13\end{array}\right]](https://img.qammunity.org/2021/formulas/mathematics/college/8rhnf87y1mb5sgvjurt5o0pzujixes2rej.png)
Solving the Matrix we get
= -1/33
![\left[\begin{array}{cc}18-117\\-27-39\\\end{array}\right]](https://img.qammunity.org/2021/formulas/mathematics/college/62gzt77bnngvvgzjmb3xri73ejvq4lrcvg.png)
= -1/33
![\left[\begin{array}{cc}-99\\-66\end{array}\right]](https://img.qammunity.org/2021/formulas/mathematics/college/8yka1lp2zk723zwo15zsme3u1papzr3mzd.png)
From Here we find x= 99/33 or 3
and y = 66/33= 2