If a pair of linear equations is consistent, then the lines represented by these equations can either be intersecting or coincident.

Step 1: Understand the term "consistent". In the context of linear equations, "consistent" means that there is at least one set of values for the variables that can satisfy all the equations simultaneously.

Step 2: If the lines are intersecting, it means they cross each other at one point. This point is the solution to the system of equations, meaning the coordinates of this point satisfy both equations.

Step 3: If the lines are coincident, it means they are essentially the same line, just expressed in different forms. In this case, there are infinitely many solutions, because every point on the line satisfies both equations.

So, if a pair of linear equations is consistent, the lines will be either intersecting or coincident.

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If a pair of linear equations is consistent, then the lines represented by these equations can either be intersecting or coincident.

Step 1: Understand the term "consistent". In the context of linear equations, "consistent" means that there is at least one set of values for the variables that can satisfy all the equations simultaneously.

Step 2: If the lines are intersecting, it means they cross each other at one point. This point is the solution to the system of equations, meaning the coordinates of this point satisfy both equations.

Step 3: If the lines are coincident, it means they are essentially the same line, just expressed in different forms. In this case, there are infinitely many solutions, because every point on the line satisfies both equations.

So, if a pair of linear equations is consistent, the lines will be either intersecting or coincident.

Knowee AI · Accepted Answer

If a pair of linear equations is consistent, then the lines represented by these equations can either be intersecting or coincident.

Step 1: Understand the term "consistent". In the context of linear equations, "consistent" means that there is at least one set of values for the variables that can satisfy all the equations simultaneously.

Step 2: If the lines are intersecting, it means they cross each other at one point. This point is the solution to the system of equations, meaning the coordinates of this point satisfy both equations.

Step 3: If the lines are coincident, it means they are essentially the same line, just expressed in different forms. In this case, there are infinitely many solutions, because every point on the line satisfies both equations.

So, if a pair of linear equations is consistent, the lines will be either intersecting or coincident.

If a pair of linear equations is consistent, then the lines will be

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