Question

Which matrix represents the system of equations?

3x + y = -9
x + 5y = 16
a) A. | 3 0 |
| 0 5 |
b) B. | 3 1 |
| 1 5 |
c) C. | 3 0 -9 |
| 0 5 16 |
d) D. | 3 1 -9 |
| 1 5 16 |

Answer 1

The correct matrix representing the given system of equations is option D: | 3 1 -9 | | 1 5 16 |, aligning the coefficients of x and y along with the constants from each equation in two rows.

Step-by-step explanation:

The matrix that represents the system of equations 3x + y = -9 and x + 5y = 16 can be found by placing the coefficients of the variables into a matrix format. The correct matrix is D. | 3 1 -9 | | 1 5 16 | because it places the coefficients of x and y from the first equation in the first row and the coefficients of x and y from the second equation in the second row, with the constant terms of each equation as the third element in each row.