Question

How do you solve this? I keep getting 0 = 0. :{
2x - y = 6
-2x + y = -6

Answer 1

You can't because all terms cancel out!

Answer 2

You can and you did!

What you have is a Consistent and Dependent System. There are infinitely many solutions.

Answer 3

Wouldn't the answer be 0? Right?

Answer 4

How about 5x - y = 5
-5x + y = 5? I got the same thing too.

Answer 5

No, "0" is not an answer. You need an ordered pair.

Rewrite one to a familiar form: y = 2x - 6
Just pick an x value. x = 0
Calculate the corresponding y-value. y = -6.

There, (0,-6) is one solution. There are infinitely many more.

Answer 6

Oh ok. That clears it up. Thank you.

Answer 7

Can you name another solution?