Question
X+2y=-4
4x+8y=-16
No solution
Infinite solutions
Or one solution
4x+8y=-16
No solution
Infinite solutions
Or one solution
Answers
GPT 3.5
One solution
Thought it was none? Can you explain your answer?
GPT 3.5
I apologize for the confusion. Let's solve the system of equations to determine the number of solutions.
Given equations:
1) X + 2y = -4
2) 4x + 8y = -16
Let's simplify the second equation by dividing everything by 4 to make the coefficients easier to work with:
2) x + 2y = -4
Now we can see that the first equation is the same as the second equation. This means that the two equations represent the same line and therefore have infinitely many solutions.
Therefore, the correct answer is: Infinite solutions.
Given equations:
1) X + 2y = -4
2) 4x + 8y = -16
Let's simplify the second equation by dividing everything by 4 to make the coefficients easier to work with:
2) x + 2y = -4
Now we can see that the first equation is the same as the second equation. This means that the two equations represent the same line and therefore have infinitely many solutions.
Therefore, the correct answer is: Infinite solutions.