solving a system of linear equations that is inconsistent or consistent dependent

Mathematics
Tutor: None Selected Time limit: 1 Day

I am working on inconsistent and consistent does this problem have a solution, infinite or unique if so what are they.. x-3y+3=0

                                           -x+3y=3

Jun 16th, 2015

Thank you for the opportunity to help you with your question!

------------------------------------------------------------------------------------------------------

x - 3y + 3 = 0 ---(1)

-x + 3y = 3 ---(2)


Subtracting 3 from both sides of equation (1), we get

x - 3y + 3 - 3 = 0 - 3

x - 3y = -3 ---(3)


Multiply both sides of equation (2) by -1

-1(-x + 3y) = -1*3

x - 3y = -3 ---(4)


Equations (3) and (4) are same. So, equations (1) and (2) represent the same line.

Hence, every point on the line is a solution to the equation and there are infinite such points.

Therefore, the system of equations is consistent and has infinite solutions.

--------------------------------------------------------------------------------------------------------------


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 16th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 16th, 2015
...
Jun 16th, 2015
May 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer