Question

How many solutions can be found for the system of linear equations represented on the graph?

A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answer 1

D) infinitely many solutions

Explanation:

we can see that the graphs shows two lines that are exactly one on top of the other. This means that every point on either line will also coincide with a point on the other line.

Because of this, every point on one line is also a solution on the other line, thus there are infinitely many solutions.

Answer 2

D, ininitely many

Explanation:

A- incorrect since the lines intersect

B - incorrect since the lines intersect at more than one point

C - incorrect since the lines intersect at more than 2 points

D- correct since the lines intersect at infinitely many points (since they're the same line)