C++

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:

The private data fields a, b, c, d, e, and f with get methods.

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.

The 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 Exercise 4.3 for sample runs.