Solve the system using matrices.

Question

3x + 4y = 18

3x + 4y = 18

Answer 1

The system of equations are 3x + 4y = 18 and 3x + 4y = 18.

Write the system of equations in matrix equation form, A · X = B, where A = coefficient matrix, X = variable matrix and B = constant matrix.

Find the inverse of the coefficient matrix.

First find the determinant of the coefficient matrix.

The determinant of the coefficient matrix is zero, so does not exist.

There is no unique solution of this system.