Several methods exist. For example: solve one equation for one variable, replace that variable in the other equation. (Two simultaneous equations will often have two variables each.)
The graphs of the two equations have only one intersection point.
There is no special name. Two totally unrelated equations could have the same solution(s).
simultaneous equations
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Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
equivalent equations
equal equations.
The solution of a system of linear equations is a pair of values that make both of the equations true.
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
The two equations represent parallel lines.
The graphs of the two equations have only one intersection point.
The slopes (gradients) of the two equations are different.
There is no special name. Two totally unrelated equations could have the same solution(s).
Consistent equations are two or more equations that have the same solution.
simultaneous equations
yjjjjj
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.