A system of two linear equations in two variables is said to be inconsistent if it has……

A system of two linear equations in two variables is said to be inconsistent if it has no solution. This happens when the two lines represented by the equations are parallel and therefore do not intersect at any point.

Here are the steps to determine if a system of equations is inconsistent:

1. Write down the system of equations.
2. Try to solve the system of equations. This can be done by using a method such as substitution, elimination, or graphing.
3. If you find that the system has no solution (for example, you end up with an equation like 0 = 5), then the system is inconsistent.
4. If you can find at least one solution (a pair of x and y values that satisfy both equations), then the system is not inconsistent.

Remember, a system of equations is only inconsistent if there is no possible solution.