Design a class named LinearEquation for a 2 × 2 system of linear equations: ax + by = e cx + dy = f X= ed-bf ad - be y = af - ec ad - be 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."

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Design a class named
LinearEquation for a 2 × 2 system of linear equations:
The class contains:
ax + by = e
cx + dy = f
■
Xx=
ed - bf
ad - bc
y =
af - ec
ad – bc
Private data fields a, b, c, d, e, and £.
▪ 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 – be 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."
Transcribed Image Text:Design a class named LinearEquation for a 2 × 2 system of linear equations: The class contains: ax + by = e cx + dy = f ■ Xx= ed - bf ad - bc y = af - ec ad – bc Private data fields a, b, c, d, e, and £. ▪ 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 – be 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."
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