A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?

Question

Responses

The two linear equations never intersect.
The two linear equations never intersect.

The two linear equations graph the same line.
The two linear equations graph the same line.

The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.

The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.

The two linear equations intersect at exactly one point.

Nho · Answer

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

Learn more about solutions for linear equations using given link :

https://brainly.com/question/26310043

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