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For this case we have the following system of equations:
Rewriting equation 1 we have:
Therefore, the equivalent system is:
The system will have no solution, if we write equation 2 as a linear combination of equation 1.
Therefore, since both lines have the same slope, they are parallel.
Parallel lines do not intersect when they have different cut points.
Therefore, there is no solution for:
-12, -4, 0, 4
The system has inifinites solutions for:
12
This is because the lines intersect at all points in the domain.
Answer:
The values, when placed in the box, would result in a system of equations with no solution are:
A: -12
B: -4
C: 0
D: 4