Provide an appropriate response.Is it possible for a system of two linear equations in two variables to be both inconsistent and dependent? Why or why not?
What will be an ideal response?
No, it is not possible for a system of two linear equation in two variables to be both inconsistent and dependent. An inconsistent system of equations has no solution, but a dependent system has an infinite number of solutions. The graph of an inconsistent system of two linear equations in two variables is two parallel lines, while the graph of a dependent system of two linear equations in two variables is a single line.
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