To solve the problem we must know about the system of equations.
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The system will either have multiple solutions or will have no solution.
As we can see the equations given have the same slope, therefore, the lines can be either parallel or coincide,
The lines will coincide if both the equations are equal, therefore, to make the equations unequal the value of k should be any integer except 2.
As we can see the equations given have the same slope, therefore, the lines can be either parallel or coincide,
The lines will coincide if both the equations are equal, while making the equations unequal the line will be parallel. therefore, for any integer value of k, the system will not have one real number.
As we can see the equations given have the same slope, therefore, the lines can be either parallel or coincide,
The lines will coincide if both the equations are equal, while making the equations unequal the line will be parallel. therefore, for any integer value of k, the system will not have exactly two real number solutions.
Hence, the system will either have multiple solutions or will have no solution.
To check the system of equations we can plot the equations on the graph. As shown below in the image.
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