Answer:
The equation is Inconsistent.
The equation has no solution.
Explanation:
Consider the provided information.
If a system of equations has at least one solution then it is called a consistent system.
If a system of equations has no solution then it is called a inconsistent system.
It is given that you end up with 2=-2 when solving a linear equation in one variable,
As we know it is not true because 2≠-2
That means there is no solution for the system of equation.
Thus, the equation is called inconsistent.
For example,
Consider the equation 2x+4 = 2x-4
Divide 2 from both sides, we get
x+2 = x-2
Subtract x from both sides.
2 = -2
Or
Consider the equation 2x+4 = 2x-4
Subtract 2 from both sides, we get
2x+2 = 2x-2
Now subtract 2x from both sides.
2 = -2
From this we can conclude that there is no number whose twice is added to 4 is same as twice of the same number added to -4.