Question

What are the classifications of each system?
x+5y=-2
x+5y=4
A.consistent independent
B. coincident
C. inconsistent

Answer 1

@waterineyes @iGreen @AnswerMyQuestions @animal_lover36

Answer 2

See, \(1 + 2 = \) ?

Answer 3

3 @waterineyes

Answer 4

Now take a look at this:
I say :
\(1 + 2 = 5\)
\(1 + 2 = 10\)

Is that ever possible?

Answer 5

No @waterineyes

Answer 6

Good..

Answer 7

Now we take a look at your question:

\(\color{green}{x+5y} = -2\)
\(\color{green}{x + 5y} = 4\)

Answer 8

In both the equations, the term which I have colored with Green, are same.. Right??

Answer 9

yes @waterineyes

Answer 10

Then is that possible that they can have two different values??

Answer 11

\(x + 5y\) is just like \(1 + 2\), if \(1+2\) cannot have two different values, then \(x+5y\) can have or not?

Answer 12

not @waterineyes

Answer 13

If there is no values, possible, for both x and y, we say the system is ??? What we say?? Do you know?

Answer 14

*are

Answer 15

So, we say the system is \(\text{Inconsistent System..}\)

Answer 16

Now, I can say in general that:

If you have:
\[ax + by = c\]
\[ax + by = d \quad \quad \quad \quad (c \ne d)\]

Then the system is Inconsistent System and there is no value of \(x\) and \(y\) possible for which the equations are satisfied. :)

Answer 17

could you help me with a few more ? @waterineyes

Answer 18

And from all the users,

\[\huge \color{green}{\textsf{Welcome To Openstudy...}}\]

Answer 19

I can try.. :)