Question

Would 0=0 be no solution to a system?

Answer 1

Yes!

Answer 2

ok, just making sure

Answer 3

yes

Answer 4

actually it would be an identity

Answer 5

It could mean there are an infinite number of solutions to a system

Answer 6

so it would be all real numbers?

Answer 7

no its just an identity

Answer 8

sometimes, a system's solutions space would be a line.

Answer 9

should i put no solution or all real numbers if my teacher hasnt taught us about identity?

Answer 10

sometimes it is a plane, sometimes it is a hyperplane.... etc.

Answer 11

what is the particular system?

Answer 12

2x+8y=6
-5x-20y=-15

Answer 13

for that particular system, you get 0 = 0 when you solve it using substitution

That means that the two equations in the system represent the same line.

Answer 14

ok, so do i just put all real numbers?

Answer 15

Or their slopes are the same. Say "no solution."

Answer 16

ok
thanks

Answer 17

nope, you put in the equation of the line in slope-intercept form \[SS: y = \frac{1}{4}x + \frac{3}{4}\]

Answer 18

or am I mistaken?

Answer 19

0=0 is a true statement, which means that it has solutions

Answer 20

it just happens to be any and all soultions

Answer 21

Ah. Right. That's correct. They're the same line.

Answer 22

yeah I am mistaken\[SS: y = -\frac{1}{4}x + \frac{3}{4}\]

Answer 23

thanks