Question

Which graph below shows a system of equations with infinitely many solutions?

A)coordinate plane with two parallel lines

B)coordinate plane with two intersecting lines

C)coordinate plane with two coinciding lines

D)coordinate plane with two intersecting lines

Answer 1

infinitely many solutions...this means u have 2 lines that are the same...they are coincident lines.....ur answer is C

Answer 2

The correct option is C.

Explanation:

Consider the provide information.

Now consider the provided options

Option A) If there is a coordinate plane with two parallel lines.

if the plane has two parallel line then, It has no solution because you can get the solution if lines intersect at a point. Thus, it is not the required option.

Option B) and D) If there are two intersecting lines then you can get only one solution. Thus, it is not the required option.

Option C) If there are two coinciding lines then you can find infinite intersecting points. Thus, it is the required option.

Therefore, the correct option is C.