Question 305382
If the number of variables is more than the number of equations, there are an infinite number of solutions.
x = 6 has one solution.
x+y = 6 has an infinite number of solutions.
------------------
You asked about "an equation", I think you meant a system of equations.
--------------
x + y = 2
x - 2y = 10  has one solution.
--------------
x + y = 2
2x + 2y = 4 has an infinite number, the 2nd eqn is 2x the 1st --> dependent.
-------------
x + y = 2
x + y = 3 has no solution --> inconsistent.
------------------
x + y + z = 3
x + y - z = 1  has an infinite number, only 2 eqns with 3 variables.
-------------