Solve the linear equation with inverses

Question

x-5y=-4

6x+8y=33

Answer 1

Step 1:

The system of equations are and .

Solve the system of equations using inverse matrix method.

Write the equations into matrix form , where is coefficient matrix, is variable matrix and is constant matrix.

Therefore, the solution of system is .

Find .

Inverse of matrix : .

Here and .

Step 2:

Find .

.

The solution of system of equations are and .

Solution:

The solution of system of equations are and .