Design a class named LinearEquation for a 2-by-2 system of linear equations: ax + by = e x=(ed-bf)/(ad-bc) cx + dy = f y=(af-ec)/(ad-bc) The class contains: • Private double 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. • Methods getX() and getY() that return the solution for the equation. • A method named isSolvable() that returns true if ad - bc is not 0. The method isSolvable() will be called in the main, if it returns true display the calculated values for x and y by calling getX() and getY(). If the call to isSolvable() returns false, display a message that “the equation has no solution”. Write a test Java program that prompts the user to enter a, b, c, d, e, and f and displays the result. After the values for a through f are entered, create a LinearEquation object. Check to see If ad - bc is 0, report that “The equation has no solution”, otherwise print out the values for x and y.
Design a class named LinearEquation for a 2-by-2 system of linear equations:
ax + by = e x=(ed-bf)/(ad-bc)
cx + dy = f y=(af-ec)/(ad-bc)
The class contains:
• Private double 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.
• Methods getX() and getY() that return the solution for the equation.
• A method named isSolvable() that returns true if ad - bc is not 0. The method isSolvable() will
be called in the main, if it returns true display the calculated values for x and y by calling getX()
and getY(). If the call to isSolvable() returns false, display a message that “the equation has no
solution”.
Write a test Java program that prompts the user to enter a, b, c, d, e, and f and displays the result. After the values
for a through f are entered, create a LinearEquation object. Check to see
If ad - bc is 0, report that “The equation has no solution”, otherwise print out the values for x and y.
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