Question

Which graph below shows a system of equations with one solution? 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 parallel lines

Answer 1

A solution is where two lines intersect.
Parallel lines never intersect so A and D are wrong (are they supposed to be the same?).
Coinciding lines are the same line, so they have infinitely many solutions since all of their points match up with one another. Because we're looking for only one solution C is wrong.

Final answer: B

Answer 2

Answer:

B)

Step-by-step explanation:

When we have two linear equations, the graph of them can intersect in either no point (the graph shows two parallel lines) when there are no solutions, or they intersect in one point when they have one solution. The point where they intersect is the solution of the system. (when both equations are the same, their graphs are the same)

Since the problem asks us how do a graph of a system of equations with one solution, the graph will show a coordinate plane with two intersecting lines.

Therefore, the correct answer is B)