Question

this system of equations has infinitely many solutions. which of the following statements is not true.

Answer 1

All the statement except the one that the both lines are same are not true.

Explanation:

• If the system of equation has the infinite number of solutions then it is pretty clear that the equation represents the same line.
• If the lines are parallel then they do not have any solution.
• If the line is intersected once, it has one solution.
• Hence the equation that has an infinite solution is true only if the lines are the same. All the other statements like, they are parallel, they are intersecting, etc are false.