Asystem of two linear equations is consistent and dependent. what is true about the graph of the equations?

a. the lines are the same.
b. the lines are parallel, but have different intercepts.
c. the lines intersect.
d. the lines are perpendicular.

The answer is option:  A

Step-by-step explanation:

" The dependency of a linear equation on the other means that one equation is constant multiple of the other ".

" Also consistency of a equation means that the solution of the linear equation exist " .

So for two linear equations to be consistent and dependent. the graph of the equations must be same i.e. the Two Lines must be same.

i.e. they have the same intercepts, they won't be perpendicular and won't intersect.

B) The set of parallel lines denote a inconsistent solution.

Hence, option A is correct.

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