Asked by fewarga
Determine the number of solutions of this system of linear equations: x+2y=−4 ��� + 2 ��� = − 4 4x+8y=−16 4 ��� + 8 ��� = − 16 This question requires you to show your work. Responses Infinitely Many Solutions Infinitely Many Solutions - not selected, this is the correct answer No Solutions No Solutions - no response given One Solution
Answers
Answered by
GPT 3.5
To determine the number of solutions, we can see if the two equations are equivalent or if they are inconsistent.
First, let's see if the second equation is a multiple of the first equation:
4(x + 2y) = 4x + 8y = -16
This means that the second equation is actually just a multiple of the first equation. Therefore, these two equations represent the same line and have infinitely many solutions. The correct answer is: Infinitely Many Solutions.
First, let's see if the second equation is a multiple of the first equation:
4(x + 2y) = 4x + 8y = -16
This means that the second equation is actually just a multiple of the first equation. Therefore, these two equations represent the same line and have infinitely many solutions. The correct answer is: Infinitely Many Solutions.