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if the graph of two equations of a system arae two parallel lines, the system is eaid to have​ solution O true O false

User Temuraru
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1 Answer

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The statement given is false.

If a system of equations is represented as two parallel lines in a graph, it means that these two lines do not intersect. Essentially, the reason we graph these lines is to identify the solution for the system of equations, which is the point or points where the lines intersect.

However, parallel lines, by their very definition, do not intersect. They continue on infinitely in the same direction without ever crossing paths. Because of this, there can be no points of intersection and thus, no solution for the system of equations.

Consequently, the claim - 'if the graph of two equations of a system are two parallel lines, the system is said to have a solution' - is false.

User Zasaz
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