Determine the number of solutions of this system of linear equations:

Question

x+2y=−4

4x+8y=−16

This question requires you to show your work.

(1 point)
Responses

One Solution
One Solution

Infinitely Many Solutions
Infinitely Many Solutions

No Solutions

Answer 1

To solve this system of linear equations, we can first simplify the second equation by dividing by 4:

x + 2y = -4
x + 2y = -4

Since the two equations are the same, they represent the same line. Therefore, the two equations are dependent and there are infinitely many solutions.

Therefore, the number of solutions for this system of linear equations is: Infinitely Many Solutions.