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### First Question:
# Brief Explanations:
A set of two or more equations with the same variables is defined as a system of equations. This is a fundamental concept in algebra (a subfield of Mathematics) related to solving multiple equations simultaneously.
# Answer:
system

### Second Question:
# Brief Explanations:
The method where we solve one equation for a variable and substitute that expression into another equation is known as the substitution method. It's a standard technique for solving systems of equations.
# Answer:
substitution method

### Third Question:
# Brief Explanations:
When we solve a system of equations by adding or subtracting them to eliminate a variable, this is called the elimination method (or sometimes the addition - subtraction method). The goal is to reduce the number of variables by combining the equations.
# Answer:
elimination method (or addition - subtraction method)

### Fourth Question:
# Brief Explanations:
Parallel lines have the same slope and never intersect. In a system of linear equations, the solution is the point of intersection. Since parallel lines don't intersect, the system has no solution.
# Answer:
no

### Fifth Question:
# Brief Explanations:
A system of equations that has no solution (the graphs are parallel lines for linear systems) is called an inconsistent system. This is a key term in the study of systems of equations.
# Answer:
inconsistent

### Sixth Question (partially visible, assuming the common concept):
# Brief Explanations:
A system of equations with infinitely many solutions (the graphs are the same line for linear systems) is called a dependent system. This is because the equations are not independent of each other.
# Answer:
dependent

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