(Algebra: 2 × 2 linear equations) Design a class named LinearEquation for a 2 × 2...

(Algebra: 2 × 2 linear equations) Design a class named LinearEquation for a 2 × 2 system of linear equations:

The class contains:

• Private data fields a, b, c, d, e, and f.

• A constructor with the arguments for a, b, c, d, e, and f.

• Six get methods for a, b, c, d, e, and f.

• A method named isSolvable() that returns true if ad – bc is not 0.

• Methods getX() and getY() that return the solution for the equation.

Draw the UML diagram for the class and then implement the class. Write a test program that prompts the user to enter a, b, c, d, e, and f and displays the result.

If ad – bc is 0, report that “The equation has no solution.” See Programming Exercise 3.3 for sample runs.