Question

When is a pair of linear equations in two variables said to be consistent

Answer 1

Answer:

The same set of variables appears in both equations of a pair of linear equations in two variables. To arrive at a solution, these equations are all solved at the same time. In this post, we'll look at several sorts of two-variable equation solutions.

Step-by-step explanation:

• There is a unique solution to the pair of linear equations if both lines cross at a location. The pair of linear equations is considered to be consistent in this scenario.
• Consider the equations a1x+b1y+c1 = 0 and a2x+b2y+c2 = 0 for two lines.
• If these lines intersect, there are an endless number of solutions since a line has an infinite number of points.
• The pair of linear equations is considered to be dependent and consistent in this scenario. The pair of lines in the graph below coincide, indicating that they are dependent and consistent.

Answer 2

 If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case it is said to be consistent