PLEASE HELP! I DON'T KNOW HOW TO DO THIS!! Perform the specific elementary row operation and type the resulting system of equations.

Question

-x +  y −  z = 10

3x − 2y + 6z = 4 

  x + 2y +  z = 5

  

(Eq₁) + (Eq₃) ⟶ (Eq₃)

(Eq₁) 

    

  

(Eq₂) 

    

(Eq₃)

Answer 1

There are three elementary row operations:

a) interchange two rows

b) multiply a row by a constant

c) add a constant multiple of one row to another row

In this problem, they are asking you to perform the third operation. You are being asked to replace equation 3 with the sum of equations 1 and 3. Thus, the first two equations will be unchanged, but the third equation should be replaced by:

(-x + y - z = 10) + (x + 2y + z = 5) => 0x + 3y +0z = 15 => y = 5

I hope this helps.