For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is C.
What is a System of equations?
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution to the given system of equations is (-3,-4). Therefore, the value of the function will be -4 when the value of x is kept as -3 in both functions. Thus, the relationship between the two functions can be written as,
f(-3) = g(-3)
Hence, the correct option is C.
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