A system of two linear equations has an infinite number of solutions. How is this possible?
A.
It's not; the graphs of the two equations can intersect only once.
B.
The two equations are the same line.
C.
The equations are parallel lines.
D.
There was an error in solving the system.
please answer and explain thanks
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Verified answer
The solution of the equations is a point that lies on both lines (graphs) Therefore, B, because if they are same line, that means they have infinite amount of points that lie on both of them and, therefore, infinite amount of solutions.
It is possible if the two equations are the same line.
This would mean the two equations are equivalent, maybe
just modified a little.
Like x + y = 5
and 2x + 2y = 10
B.
The two equations are the same line.
The answer would be B!
Answer is B.