Line M is represented by the following equation:

x+y=-1
What is most likely the equation for line P so the set of equations has infinitely many solutions?
A: 2x + 2y = 2
B: 2x + 2y = 4
C: 2x+2y=-2
D: x-y=1

Respuesta :

Step-by-step explanation:

c

if you divide the answer althrough by 2 you should get the above equation

9514 1404 393

Answer:

  C:  2x+2y=-2

Step-by-step explanation:

The equation that makes the system have infinitely many solutions is one that is dependent on the given equation. The easiest way to make a dependent equation is to multiply the given equation by some constant.

Here, choice C has the original equation multiplied by 2, so it is dependent on the given equation.

  x + y = -1   ⇒   2(x + y) = 2(-1)   ⇒   2x + 2y = -2 . . . . matches choice C