22.9k views
1 vote
I need to know the description of the system of equations

I need to know the description of the system of equations-example-1
User Blueshift
by
8.8k points

1 Answer

5 votes

Hello!

First, we have to solve this system, then we can classify it.

Let's solve:


\begin{cases}4x+2y=-6 \\ 2x+y=8\end{cases}

Let's isolate y in the second equation:


y=8-2x

Now, let's replace it in the first equation:


\begin{gathered} 4x+2y=-6 \\ 4x+2\cdot(8-2x)=-6 \\ 4x+16-4x=-6 \\ \cancel{4x}+16\cancel{-4x}=-6 \\ 16=-6 \\ \text{FALSE!!!} \end{gathered}

As we can see, this linear system has no solution.

Now, let's classify it:

As this does not admit any solution, we can say that it is inconsistent.

User Tanner Sansbury
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories