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

Question

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

anonymous · Answer

You can't because all terms cancel out!

tkhunny · Answer

You can and you did!

What you have is a Consistent and Dependent System.  There are infinitely many solutions.

artfis · Answer

Wouldn't the answer be 0? Right?

artfis · Answer

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

tkhunny · Answer

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.

artfis · Answer

Oh ok. That clears it up. Thank you.

tkhunny · Answer

Can you name another solution?