Design a class named LinearEquation for a 2x2 system of linear equations: ax + by = ecx + dy = f x = (ed - bf)/(ad - bc ) y = (af - ec)/(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 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 is 0, report that “The equation has no solution.”

EBK JAVA PROGRAMMING
9th Edition
ISBN:9781337671385
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Chapter11: Advanced Inheritance Concepts
Section: Chapter Questions
Problem 19RQ
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Design a class named LinearEquation for a 2x2 system of linear equations:

ax + by = e
cx + dy = f

x = (ed - bf)/(ad - bc )

y = (af - ec)/(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 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 is 0, report that “The equation has no solution.”

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