Solve the system by using a matrix equation (picture provided)

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

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|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  

A⁻¹ =  / -2

A⁻¹ =  

X= A⁻¹ B

X=  

X=

X=

X=

x= 8, y= 13

solution set= (8,13).

Option b is correct.

here is the

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