Final answer:
The matrix represents the system of equations 5y = 15 and 3x - 2y = 9. The first row of the matrix shows the coefficients for the first equation, and the second row shows the coefficients and constant for the second equation.
Step-by-step explanation:
The system of equations represented by the matrix is:
5y = 15
3x - 2y = 9
This is because the given matrix corresponds to the coefficients and constants of the linear equations in standard form. The first row of the matrix represents the first equation with a coefficient of 5 for y and 15 as the constant, which translates to 5y = 15. The second row corresponds to the second equation with coefficients 3 for x and -2 for y, and the constant 9, which gives us 3x - 2y = 9.