Which linear system of equations does the matrix represent
[-3 5|15]
[2 3|-10]
The linear system of equations represented by the matrix is:
-3x + 5y = 15
2x + 3y = -10
The linear system of equations represented by the given matrix is:
-3x + 5y = 15
2x + 3y = -10
To determine the linear system of equations represented by a matrix, we need to convert the matrix into an augmented matrix and then write the linear equations.
Let's rewrite the matrix as an augmented matrix:
[A|B] = [-3 5|15]
[2 3|-10]
The augmented matrix represents a system of linear equations with two variables. The left side of the augmented matrix represents the coefficients of the variables, and the right side represents the constants.
Now, let's assign variables to the coefficients:
-3x + 5y = 15 ...(1)
2x + 3y = -10 ...(2)
So, the linear system of equations represented by the given matrix is:
-3x + 5y = 15
2x + 3y = -10