Question

Solve the simultaneous equations using the matrix method.

a) 2x + 3y = -8
5x - 2y = 18

b) 3x + 4y = 14
-2x + y = 9

1) x = -4, y = 4
2) x = 2, y = 5
3) x = -2, y = 6
4) x = 1, y = 3

Answer 1

To solve the simultaneous equations using the matrix method, we can represent the equations in matrix form and perform row operations to find the solution. Hence the correct answer is option A

Step-by-step explanation:

1. First, we write the system of equations in matrix form:
   
   [2 3 | -8] [5 -2 | 18]
2. Next, we perform row operations to convert the matrix into reduced row-echelon form:
   
   [1 0 | -4] [0 1 | 4]
3. Therefore, the solution to the system of equations is x = -4 and y = 4.

Hence the correct answer is option A