Answer:
x= -1, y= 5
Step-by-step explanation:
Please see the attached picture for the full solution.
Matrix A is called the coefficient matrix. This means that its elements are the coefficient of x and y. In matrix X, write the unknown variables. Then write the constants in matrix B.
Theorem:
[tex]{A}^{ - 1} A = I[/tex]
☆ I is an identity matrix and can be treated as 1 when multiplying.
[tex] {A}^{ - 1} = \frac{1}{ |A| } adj(A)[/tex]
☆ [tex] |A|[/tex] is the determinant of A
☆ adj(A) is the adjoint of matrix A