Solve the system by using a matrix equation

Option A is correct (17,11).

Step-by-step explanation:

6x - 9y = 3

3x - 4y =7

it can be represented in matrix form as

A=

X=

B=

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (6*-4) - (-9*3)

                                    = (-24)-(-27)

                                    = (-24) + 27 = 3

so, |A| = 3

Adj A=  

A⁻¹ =  /3

A⁻¹ =  

X= A⁻¹ B

X=  

X=

X=

X=

x= 17, y= 11

solution set= (17,11).

a. (17,11)

Step-by-step explanation:

The given system is ;

The augmented matrices is

Divide Row 1 by 6

Subtract 3 times Row 1 from Row 2

Divide Row 2 by

Add times Row 2 to Row 1

Hence the solution is (17,11)