If you end up with 2=-2 when solving a linear equation in one variable, what is the equation called and what is the solution? List two ways to write the answer.

The equation is Inconsistent.

The equation has no solution.

Step-by-step 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.