Java programming

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

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

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 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.