188k views
2 votes
When a system of two linear equations has no solution, how do the graphs of the equations appear?​

User Egret
by
6.9k points

1 Answer

5 votes

Answer:

parallel lines that never intersect.

Explanation:

When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations

2x - y = 2

4x - 2y = 8

These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.

User Marcelo De Aguiar
by
7.5k points