Question

Solve by graphing. (If the solution is inconsistent, enter INCONSISTENT. If the solution is dependent, enter DEPENDENT.)
x + y=2
x – y =6

Answer 1

wouldnt this be inconsistent

Answer 2

what does inconsistent mean? and what does dependent mean?

Answer 3

when you graph the lies and they are the same they are dependent

Answer 4

lines i mean

Answer 5

well these aren't that, obviously

Answer 6

if the lines are parallel and have no solution then the are inconsistent

Answer 7

the lines aren't parallel

Answer 8

have you graphed these?

Answer 9

so it will be consistent

Answer 10

no but if you will turn this to slope intercept form, you'll come up with the same conclusion

Answer 11

ok

Answer 12

move the x to the other side, and be careful with the signs

Answer 13

so what would x= and what would y=

Answer 14

you want to get y = Mx + B

Answer 15

for each one

Answer 16

ok

Answer 17

the first line x+y=2:
y=-x+2
has a slope of -1. The second line x-y=6
x-y=6
-y=-x+6
y=x-6
has a slope 1.
Since they don't have the same slope, they are not parallel, so they intersect at one point. That point will be the solution to the system therefore the system is consistent

Answer 18

ok I see what your saying

Answer 19

nice question btw :D