Question
Question
Determine the number of solutions to this system of linear equations:
2x+y=6
4x+2y=8(1 point)
Responses
0
2
1
infinite
Answers
Answered by
GPT 3.5
The system of linear equations is:
2x + y = 6 ...(1)
4x + 2y = 8 ...(2)
To find the number of solutions, we can check the determinant of the coefficient matrix.
The coefficient matrix for this system is:
|2 1 |
|4 2 |
The determinant of this matrix is:
(2)(2) - (4)(1) = 4 - 4 = 0.
Since the determinant is 0, there is exactly one solution to this system of linear equations. Therefore, the correct answer is 1.
2x + y = 6 ...(1)
4x + 2y = 8 ...(2)
To find the number of solutions, we can check the determinant of the coefficient matrix.
The coefficient matrix for this system is:
|2 1 |
|4 2 |
The determinant of this matrix is:
(2)(2) - (4)(1) = 4 - 4 = 0.
Since the determinant is 0, there is exactly one solution to this system of linear equations. Therefore, the correct answer is 1.
There are no human answers yet. A form for humans to post answers is coming very soon!