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Earn +20 ptsQ: What are the possible solutions for a pair of linear equation?
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Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
Can a pair of linear angles form a linear pair?
Yes.
Are supplementary angles necessarily a linear pair?
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
Do all supplementary angles from a linear pair Are all linear pair supplementary?
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
When is it possible for an ordered pair to be the solution of more than one equation?
Always. Every ordered pair is the solution to infinitely many equations.
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