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

(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 functions for a , b , c , d , e , and f.

■ A function named isSo1vab1e() that returns true if ad − bc is not 0.

■ Functions 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 for sample runs.

(Algebra: solve 2 × 2 linear equations) You can use Cramer’s rule to solve the following 2 × 2 system of linear equation:

Write a 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.”