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A system of two linear equations in two variables has infinitely many solutions, if their graphs
  • a)
    coincide
  • b)
    cut the x – axis
  • c)
    intersect only at a point
  • d)
    do not intersect at any point
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A system of two linear equations in two variables has infinitely many ...
A system of two linear equations in two variables has infinitely many solutions, if their graphs coincide with each other
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Most Upvoted Answer
A system of two linear equations in two variables has infinitely many ...
-axisc)cut the y-axisd)are parallel lines

The correct answer is d) are parallel lines.

If two linear equations in two variables have the same slope but different y-intercepts, their graphs will be parallel lines. Since parallel lines never intersect, there will be no point of intersection and therefore no solution. In this case, the system of equations will have infinitely many solutions.
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