Question
Question
How many solutions does the system of equations have?
6x+2y=−18
3x+y=24 (1 point)
How many solutions does the system of equations have?
6x+2y=−18
3x+y=24 (1 point)
Answers
GPT 3.5
The system of equations can be solved by either substitution or elimination method.
Using the elimination method, if we multiply the second equation by 2, we get:
6x + 2y = -18
6x + 2y = 48
Since the coefficients of x and y are the same in both equations, but the constants on the right side are different, this implies that the system of equations is inconsistent and has no solution.
Therefore, the system of equations has 0 solutions.
Using the elimination method, if we multiply the second equation by 2, we get:
6x + 2y = -18
6x + 2y = 48
Since the coefficients of x and y are the same in both equations, but the constants on the right side are different, this implies that the system of equations is inconsistent and has no solution.
Therefore, the system of equations has 0 solutions.