Answer:
-2x-3y=-26
3x+4y=36
using matrix method
(-2 -3(x = (-26
3 4) y ) 36)
AB=C
multiplying A^-1 on both sides
A^-1AB=A^-1C
IB=A^-1C ........(ยก) (AA^-1=I)
determined of A |A|=-8-(-9)=-8+9=1
adjoint of A= (4 3
-3 -2)
now
IB=A-^1C
B=adjoint A/determined of A.C
B=(4 3
-3 -2)/1 .C
B=(4 3 (-26
-3 -2). 36)
B=(-104+108
78-72)
( x (4
y) = 6)
Equating the corresponding elements of equal matrices
:.x=4
:.y=6
so the required value of x and y is 4and6.