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 getter 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 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.

ax + by = e ed bf af - ec y = cx + dy = f ad bc ad bc | |