Solve following system of equations?

x+3z=-2 2x+2y+z=4 3x+y-2z=5
i need help with few so i can get hang of this math plz.
Perform row operations write new matrix [132 -312 2-11| 073] R1+R2
using x,yand z variables write system linear equations represented by matrix [702 0174-50 |-1311 6 ]

I could help you solve those equations, but I do not understand the matrix part of your question. You could use determinants (a matrix calculation) to solve them, but that is not necessary.

What are R1 and R2? Are your matrices supposed to be related to your set of equations?

matircies and matrix

To solve the system of equations using row operations, we will use the matrix representation of the system:

[ 1 3 0 -2 ]
[ 2 2 1 4 ]
[ 3 1 -2 5 ]

Performing the row operation R1 + R2, we add the first row to the second row:

[ 1 3 0 -2 ]
[ 3 5 1 2 ]
[ 3 1 -2 5 ]

Now, let's write the system of linear equations represented by this matrix.

x + 3z = -2 (Equation 1)
3x + 5y + z = 2 (Equation 2)
3x + y - 2z = 5 (Equation 3)

Next, let's move on to the second part of your question.

We are given the matrix representation of another system of equations:

[ 7 0 2 ]
[ 0 1 7 ]
[ 4 -5 0 ]
[ -13 1 -11 ]

And the system of linear equations represented by this matrix is:

7x + 2z = -13 (Equation 4)
y + 7z = 1 (Equation 5)
4x - 5y = -11 (Equation 6)