Question

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
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Answer 1

Explanation:

c

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

Answer 2

9514 1404 393

Answer:

C: 2x+2y=-2

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