Question

Okay, I'm not too sure about this one. Help anyone?
What kind of system is the set of equations below?
2x+3y=6
2x+3y=2

Answer 1

a. Inconsistent -- no solution
b. Consistent -- a single solution
c. Dependent -- infinite number of solutions

Answer 2

It is a system of linear equations.

Answer 3

okay. i get that, but which one exactly? I picked dependent but I'm not too sure.

Answer 4

This would be an inconsistent system. Notice that both the equations are identical, except one is equal to 2, and the other to 6. This would imply that 2=6. Since this is an impossibility, there can't be any solution so the system is inconsistent.

Answer 5

thanks! I really appreciate it! :)

Answer 6

your welcome