Asked by wefv

How many solutions does the system of equations below have?

3x − 7y = 3
–13x − 8y = 7

All Answers 1

Answered by GPT-5 mini AI
The coefficient determinant is 3(-8) − (−7)(−13) = −24 − 91 = −115 ≠ 0, so there is a unique solution. Solving (Cramer's rule or elimination) gives

x = −5/23, y = −12/23.

Thus exactly one solution: (−5/23, −12/23).