What is the solution of the following system?

3x+3y=10
-9x-9y=-30

Question

What is the solution of the following system? 

3x+3y=10
-9x-9y=-30

wolf1728 · Answer

I don't think it has any solution because the 2 equations are equivalent and you need 2 equations to solve 2 unknowns.

wolf1728 · Answer

The bottom equation is just the top equation multiplied by -3.

You need 2 different equations.
For example if you have one equation 
x + y = 3
and to get a second equation you just multiply by 2 
2x + 2y = 6
You will not be able to solve that.

anonymous · Answer

Oh! So it is a dependent system?

wolf1728 · Answer

I'm not exactly sure of what a dependent system is.

anonymous · Answer

Dependent means both equations are basically the same line so that there are infinitely many answers.

wolf1728 · Answer

Yes, then I'd say that is a good definition of what those 2 equations are.

wolf1728 · Answer

According to Wikipedia, this would be considered an unsolvable system of linear equations. http://en.wikipedia.org/wiki/Elementary_algebra#System_of_linear_equations (Scroll about 2/3 down.)

anonymous · Answer

Hey, thanks for your help and care!