3x+y+z=37,x+y+z=19,x+3y+z=35

Question

augmented matrix

Answer 1

Hi Henrie,

 

I assume we are looking for the value of XYZ in this question(?). Here are steps of the solution and you can use this as a reference to other augmented matrix question.

 

1. Cross reference two equations at a time.

In this case, let's do 3x+y+z=37 and x+y+z=19 first

3x+y+z=37

x+y+z=19

---------------

 

2. Subtract the two equation you choose and solve the remaining value

3x+y+z=37
x+y+z=19
---------------

2x=18, therefore, x=9

 

For remaining unknown, here are the solution.

x+3y+z=35

x+y+z=19

-------------

2y=16 > y=8

 

Since x=9 and y=8, z=2 based on 9+8+2=19

 

Hope it helps.