Question

5

Select the correct answer.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
O A.
B.
C.
O D.
There are infinitely many solutions.
The lines in a system cannot be parallel.
There is no solution.
There is exactly one solution.
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Answer 1

If a system of equations contains a pair of parallel lines (lines with equal slopes but different y-intercepts), the system has no solutions. This is because a system of equation solves for the intersection point of both lines, or the ordered pair that satisfies both equations. Therefore, parallel lines by definition never intersect, and so a system with parallel lines does not have any ordered pair (or intersection point) that satisfies both equation