73.6k views
4 votes
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

User LazZiya
by
8.2k points

1 Answer

4 votes

Final answer:

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

User Bniwredyc
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories