A system whose graph are parallel lines and has no solution.*ConsistentDependentInconsistentIndependent
Question
A system whose graph are parallel lines and has no solution.
- Consistent
- Dependent
- Inconsistent
- Independent
Solution
The system is Inconsistent.
Here's why:
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In a system of linear equations, the graphs of the equations are lines.
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If the lines are parallel, it means they have the same slope but different y-intercepts.
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Parallel lines never intersect.
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For a system of equations to have a solution, the lines must intersect, because the solution is the point(s) where the lines intersect.
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Since parallel lines never intersect, a system of equations whose graphs are parallel lines has no solution.
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A system with no solution is called an inconsistent system.
So, the answer is Inconsistent.
Similar Questions
A system whose graph are parallel lines and has no solution.*ConsistentDependentInconsistentIndependent
Which is TRUE about an inconsistent system?*The y-intercepts are equal.The slopes are not equal.The lines are parallel.It has an infinite solutions.
Which of the following pairs of linear equations are consistent/inconsistent? Ifconsistent, obtain the solution graphically
If two lines are parallel, how many common solutions do they have?*oneinfinitenonetwo
The two lines graphed below are not parallel. How many solutions are there to the system of equations?A.OneB.TwoC.Infinitely manyD.Zero
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