SOLUTION: I am not understanding how to Solve the system of linear equation using matrices. x+y=3 4y=12 7x+3y-4z=5 Can you guide me step by step in solving it?

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Question 412025: I am not understanding how to Solve the system of linear equation using matrices.
x+y=3
4y=12
7x+3y-4z=5
Can you guide me step by step in solving it?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

x+y=3

 4y=12

7x+3y-4z=5 



D = matrix+%283%2C3%2C+1%2C1%2C0%2C0%2C4%2C0%2C7%2C3%2C-4%29 = -16



D[x]= matrix+%283%2C3%2C+3%2C1%2C0%2C12%2C4%2C0%2C5%2C3%2C-4%29= 0



D[y]= matrix+%283%2C3%2C+1%2C3%2C0%2C0%2C12%2C0%2C7%2C5%2C-4%29 = -48



D[z] =matrix+%283%2C3%2C+1%2C1%2C3%2C0%2C4%2C12%2C7%2C3%2C5%29 =  -16

  x = 0 and y = -48/-16 = 3 and z = -16/-16 = 1