bm42400
bm42400 bm42400
  • 24-04-2019
  • Mathematics
contestada

Solve the system by using a matrix equation

3x-5y=3
3x-4y=3

Solve the system by using a matrix equation 3x5y3 3x4y3 class=

Respuesta :

flowerrose19
flowerrose19 flowerrose19
  • 24-04-2019

Answer:

The correct answer is B. (1,0).

Answer Link
ellyng10
ellyng10 ellyng10
  • 24-04-2019

Answer: B. (1,0)

Step-by-step explanation:

1. We will use the matrix method to solve this problem.

3 -5 3

3 -4 3

2. Apply to Row2 : Row2 - Row1.

3 -5 3

0 1 0

3. Simplify rows.

3 -5 3

0 1 0

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

4. Apply to Row1 : Row1 + 5 Row2.

3 0 3

0 1 0

5. Simplify rows.

1 0 1

0 1 0

Note: The matrix is now in reduced row echelon form.

6. Therefore,

x=1

y=0

or (1,0).

Answer Link

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