You can use Cramer's Rule to solve a 2 X 2 system of linear equations. Cramer's...

 

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You can use Cramer's Rule to solve a "2 X 2" system of linear equations. Cramer's Rule states: If: ax + by = e CX Then: + dy = f bf) (ad bc) = y (af ec) (ad bc) x = (ed Here's an example. Using Cramer's Rule, let's calculate the values of x and y for the following two linear equations: 8x + 7y = 38 and: 3x 5y = -1 To write the code for this example, first identify the coefficients: a = 8, b = 7, c = 3, d = -5, e = 38, f = -1 Then, plug the coefficients into the formulas for x and y: x = (ed bf)(ad - bc) x = ((38* (-5)) - (7* (-1)))/((8* (-5))-(7*3)) x = x (-190 (-7))/(-40 -21) 183/-61 y (afec)/(ad - bc) = y = (-8 (114)/(-40-21) y=-122/-61 y ((8 (-1)) (38*3))/((8* (-5))-(7*3)) x = 3 y = 2 For your assignment, create a new Java application called "PreLab01A" that uses Cramer's Rule to output similarly formatted output as the above for the following two linear equations: 2.3x + 31.1y = 27.3 4.5x + 20.12y = 15.3 You must use appropriate naming conventions, proper indentation and spacing, "end-of-line" style for braces, and at least one line comment in your code. Be sure to include a program header block similar to the one below: /******** * Program Name: * Program Description: * * Program Author: * Date Created: * Change # PreLab01A This program uses Cramer's Rule to calculate the values of x and y for two linear equations. If: ax + by = e and cx + dy = f Then: x = (edbf)/(ad - bc) and y = (af - ec) / (ad - bc) Patrick J Cassidy 09/06/2022 Change Date Programmer Name Description Sample run: Cramer's Rule states: If: ax + by = e cx dy f Then: x = (edbf)/(ad - bc) y = (af - ec)/(ad - bc) Using Cramer's Rule, the values of x and y for the following two linear equations: 2.3x + 31.1y = 27.3 4.5x + 20.12y = 15.3 and are: x = ?????????????????? y = ?????????????????? BUILD SUCCESSFUL (total time: 0 seconds) Your program will have the correct values where the question marks in the box above (???) are. Please rename your project folder to "Your Name PreLab01A" and send me your zipped project file as an attachment under Assignments in Blackboard. You may want to refer to "How to save your Project" in BlackBoard. Once you have attached the file please make sure to click Submit. You can use Cramer's Rule to solve a "2 X 2" system of linear equations. Cramer's Rule states: If: ax + by = e CX Then: + dy = f bf) (ad bc) = y (af ec) (ad bc) x = (ed Here's an example. Using Cramer's Rule, let's calculate the values of x and y for the following two linear equations: 8x + 7y = 38 and: 3x 5y = -1 To write the code for this example, first identify the coefficients: a = 8, b = 7, c = 3, d = -5, e = 38, f = -1 Then, plug the coefficients into the formulas for x and y: x = (ed bf)(ad - bc) x = ((38* (-5)) - (7* (-1)))/((8* (-5))-(7*3)) x = x (-190 (-7))/(-40 -21) 183/-61 y (afec)/(ad - bc) = y = (-8 (114)/(-40-21) y=-122/-61 y ((8 (-1)) (38*3))/((8* (-5))-(7*3)) x = 3 y = 2 For your assignment, create a new Java application called "PreLab01A" that uses Cramer's Rule to output similarly formatted output as the above for the following two linear equations: 2.3x + 31.1y = 27.3 4.5x + 20.12y = 15.3 You must use appropriate naming conventions, proper indentation and spacing, "end-of-line" style for braces, and at least one line comment in your code. Be sure to include a program header block similar to the one below: /******** * Program Name: * Program Description: * * Program Author: * Date Created: * Change # PreLab01A This program uses Cramer's Rule to calculate the values of x and y for two linear equations. If: ax + by = e and cx + dy = f Then: x = (edbf)/(ad - bc) and y = (af - ec) / (ad - bc) Patrick J Cassidy 09/06/2022 Change Date Programmer Name Description Sample run: Cramer's Rule states: If: ax + by = e cx dy f Then: x = (edbf)/(ad - bc) y = (af - ec)/(ad - bc) Using Cramer's Rule, the values of x and y for the following two linear equations: 2.3x + 31.1y = 27.3 4.5x + 20.12y = 15.3 and are: x = ?????????????????? y = ?????????????????? BUILD SUCCESSFUL (total time: 0 seconds) Your program will have the correct values where the question marks in the box above (???) are. Please rename your project folder to "Your Name PreLab01A" and send me your zipped project file as an attachment under Assignments in Blackboard. You may want to refer to "How to save your Project" in BlackBoard. Once you have attached the file please make sure to click Submit.

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