Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Which of the following classifications fit the following system?2x-y=36x-3y=9Group of answer choicesInconsistent and dependentInconsistent and independentConsistent and dependentConsistent and independent

Which Of The Following Classifications Fit The Following System2xy36x3y9Group Of Answer ChoicesInconsistent And DependentInconsistent And IndependentConsistent class=

Sagot :

System of Equations

A system of equations is called consistent if it has at least one solution. It's inconsistent if it has no solutions.

Once determined a system is consistent, it can be classified as dependent or independent.

If only one solution is possible, then it's an independent system. If more than one (or infinitely many) solution(s) are possible, then it's a dependent system.

Let's analyze the system:

2x - y = 3

6x - 3y = 9

If we multiply the first equation by 3, we get exactly the second equation, thus this is not a system of equations, but a single equation with two variables. If we solve for y:

y = 2x - 3

We can give x any value and calculate the corresponding value for y.

For example, for x = 0, y = -3

For x = 1, y = -1

For x = 2, y = 1

There are infinitely many solutions, thus the system is consistent and dependent

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.