Determine the number of solutions of this system of linear equations: x+2y=−4 4x+8y=−16 This question requires you to show your work. (1 point) Responses One Solution One Solution No Solutions No Solutions Infinitely Many Solutions
We can rewrite the second equation as 2(x+2y)=-16, which simplifies to x+2y=-8.
Since the two equations are equivalent, they represent the same line. Therefore, the system has infinitely many solutions.
Therefore, the number of solutions of this system of linear equations is: Infinitely Many Solutions.