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Question
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has ______.
Options
a unique solution
two solutions
no solution
an infinite number of solutions
MCQ
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Solution
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has an infinite number of solutions.
Explanation:
When lines are coincident, they lie exactly on top of each other. This means every point on one line is also on the other. Since a line consists of an infinite number of points, the pair of equations has infinitely many solutions.
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