Question

Somebody please help! I have no idea how to do this!
Give an example of a consistent dependent system. Explain why the system is a consistent dependent system.

Answer 1

humm........................................................

Answer 2

do you know what a dependent system is?

Answer 3

Not really.

Answer 4

ok... so a dependent system has infinite numbers.

Answer 5

i mean solutions

Answer 6

I don't get it. What is it exactly?

Answer 7

like here is a dependent system...
y=x+1
2y=2x+1

Answer 8

if you simplify it, they would be identical.

Answer 9

Okay, I see. But is a consistent dependent system the same thing?

Answer 10

yes.

Answer 11

a consistent equation has at least ONE solution

Answer 12

So I could just put an example like yours and it would be correct? Okay then. Thanks for the help.

Answer 13

If a system has at least one solution, it is said to be consistent .

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Answer 14

x + y = 1
2x + 2y = 2
========

The same line.

Answer 15

Because the two equations are of the same line, the graphs coincide at every point. Hence, infinitely many solutions.

Answer 16

Ohhhhh! :) Thanks both of you for your help. :) Now I get it.

Answer 17

You are welcome.

Answer 18

what he said.