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
To determine the linear system of equations represented by a given matrix, we need to write each equation by considering the rows of the matrix.
Let's consider the given matrix:
[-3 5 | 15]
[ 2 3 |-10]
We can interpret the matrix as follows:
- The first row corresponds to the coefficients of the variables in the first equation.
- The second row corresponds to the coefficients of the variables in the second equation.
- The last column represents the constants on the right side of the equations.
Using this interpretation, we can write the linear system of equations:
-3x + 5y = 15 (Equation 1)
2x + 3y = -10 (Equation 2)
So, the linear system of equations represented by the given matrix is:
Equation 1: -3x + 5y = 15
Equation 2: 2x + 3y = -10
The matrix represents the following linear system of equations:
-3x + 5y = 15
2x + 3y = -10