Answer:
(I can not see the options, so I will answer in a general way)
When we have a system of linear equations:
y = a*x + b
y = c*x + d
We have 3 possible options:
One solution: This happens when the lines intersect only one time, and the solution of the system is the point where the lines intersect.
No solutions: This happens when the lines do not intersect, is the case for parallel lines (lines with the same slope but different y-intercept)
Infinite solutions: This happens when the lines do intersect at infinite points, is the case for two equal lines (so both equations represent the same line)
Now we have the system:
y = m*x + b
y = -2*x + A
We want to find values of m and b, such that this system has no solutions.
Then we know that the lines must be parallel, again, the lines must have the same slope but different y-intercept.
Then we can use:
m = -2, b = A + 1
we will get:
y = -2*x + (A + 1)
y = -2*x + A
This system has no solutions.
Other pair can be:
m = -2, b = A + 3
we will get
y = -2*x + (A + 3)
y = -2*x + A
This system has no solutions.
