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# Graphically, the solution to a system of two independent linear equations is usually what?

Linear equations are one of the most integral parts of mathematics and are used to solve a lot of problems in various fields. They are represented as straight lines on the cartesian plane. We can solve these equations by various methods; one of them is the graphical method. Let's have a deeper look into this concept.

## Answer: Graphically, the solution to a system of two independent linear equations is usually the point where the graphs of both the equations are intersecting or in some cases, overlapping.

Let's understand the problem in detail.

**Explanation:**

A system of two independent linear equations can be represented in the graph using straight lines.

These systems can fall into any of the below three categories:

- A system of two independent linear equations that have only one solution: This type of system can have only one unique solution, that is, the point where both the straight lines are intersecting.
- A system of two independent linear equations that have infinitely many solutions: This type of system can have infinitely many solutions. The graphs of both the equation overlap each other in this case.
- A system of two independent linear equations that have no solution: This type of system has no solutions. The graphs never intersect and are parallel to each other in this case.

### Hence, graphically, the solution to a system of two independent linear equations is usually the point where the graphs of both the equations are intersecting or in some cases, overlapping.

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