Question

The graph of the following system of equations is

−2x + y = 3
4x + 2y = 2

A. Overlapping lines
B. Parallel lines
C. Intersecting lines

Answer 1

They are the intersecting lines.

Explanation:

We are given the graph of the system of linear equations:

−2x + y = 3

4x + 2y = 2

• The lines overlap if the ordered vertices alternate between the two segments.
• Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)

so clearly on solving by method of elimination or by graphing the graph of these two system of equations have a unique solution i.e. the solution is the intersecting points of the two line.

The intersecting point is: (-0.5,2)

Hence, they are intersecting lines.

Answer 2

the answer is C. Intersecting lines