a system of equations with exactly one solution is called a system.
the point where two lines intersect on a graph represents the of the system of equations.
the symbol used to represent an unknown number in an equation is called a.
the coordinate plane is used to graph the solutions of a system of.
solving systems of equations helps to find the where all the equations are satisfied.
the graphical method involves finding the of the lines representing the equations.

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Accepted Answer

### Sub - Question 1:
# Brief Explanations:
In the context of systems of equations, a system with exactly one solution is defined as a consistent (specifically independent) system. The key concept here is the classification of systems of equations based on the number of solutions. A consistent independent system has exactly one solution, inconsistent has no solutions, and consistent dependent has infinitely many.
# Answer:
consistent (or independent)

### Sub - Question 2:
# Brief Explanations:
When we graph a system of equations (usually linear equations), the point where the two lines intersect is the point that satisfies both equations simultaneously. By the definition of a solution to a system of equations, this intersection point is the solution (or the solution set in the case of one solution) of the system.
# Answer:
solution

### Sub - Question 3:
# Brief Explanations:
In algebraic equations, we use symbols (like $x$, $y$, $z$) to represent numbers whose values we don't know yet. These symbols are given the name "variable" because their value can vary or be solved for.
# Answer:
variable

### Sub - Question 4:
# Brief Explanations:
The coordinate plane (like the Cartesian plane) is a common tool used to graph the solutions of a system of linear equations. We can graph each linear equation as a line on the coordinate plane, and then analyze the intersection (or lack thereof) of these lines to find the solution of the system. Systems of non - linear equations can also be graphed on a coordinate plane, but linear equations are the most common case for this type of graphical analysis at an introductory level.
# Answer:
linear equations (or equations)

### Sub - Question 5:
# Brief Explanations:
The main goal of solving a system of equations is to find the value(s) (in the form of a point, for example) where all the equations in the system are satisfied. This value (or set of values) is called the solution of the system. So when we solve a system of equations, we are looking for the solution(s) that make all equations true.
# Answer:
solution

### Sub - Question 6:
# Brief Explanations:
The graphical method for solving a system of equations (especially linear equations) relies on finding the point where the lines representing the equations intersect. As we know, this intersection point is the solution of the system, and geometrically, it is the intersection point of the lines.
# Answer:
intersection point

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