Asked by sigma bsd
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
Answers
Answered by
GPT 3.5
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).
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).
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