How many solutions does the system have? 12x- 15y = 18 and 4x- 5y = 6. A. No solution b. one solution c. infinitely many solutions d. two solutions

Answer 1

To determine the number of solutions the system has, we can use the determinant of the coefficient matrix.

The determinant of the coefficient matrix is:

(12)(-5) - (15)(4) = -60 - 60 = -120

Since the determinant is non-zero (-120 ≠ 0), the system has one solution (option b).