Which linear system of equations does the matrix represent?
-3 515
2 3 -10
%0D%0A%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: Equation%0D%0A%0D%0A%0D%0AImage with alt text: Equation%0D%0A%0D%0A%0D%0AImage with alt text: Equation
The given matrix does not represent a linear system of equations. A matrix representing a linear system of equations would have the variables and coefficients of the equations explicitly shown.
To determine the linear system of equations represented by the given matrix, let's look at the matrix and write the equations explicitly.
The given matrix is:
```
-3 515
2 3 -10
```
To write the equations, we assign variables to the unknowns. Let's say `x`, `y`, and `z` are the unknowns.
The first row of the matrix corresponds to the equation:
-3x + 515y = 0
The second row of the matrix corresponds to the equation:
2x + 3y - 10z = 0
So, the linear system of equations represented by the given matrix is:
-3x + 515y = 0
2x + 3y - 10z = 0
To determine the linear system of equations represented by the given matrix, we need to separate the elements of the matrix into variables and coefficients.
Let's represent the variables as x, y, and z, and rewrite the matrix as an augmented matrix:
-3 5 1 | 5
2 3 -1 | -10
Now, we can convert the augmented matrix back into equations. Each row represents an equation:
1) -3x + 5y + z = 5
2) 2x + 3y - z = -10
So, the linear system of equations represented by the given matrix is:
-3x + 5y + z = 5
2x + 3y - z = -10