Question

When solving a system of equations by substitution, what is meant by a useless result (12=12)?






a.


parallel lines


c.


inconsistent system




b.


no solution


d.


dependent system

Answer 1

What do you think?

Answer 2

b nO SOLUTION

Answer 3

No solution means that NO point is on both lines. So you would get a result like, say, 6=0, because there is no (x,y) point that satisfies BOTH equations.

Answer 4

If you get 12=12, which is TRUE after all, it means that when you try to set the two equations equal to one another and solve, the variables both go away. So the equality of the equations does not depend on where you are on the line(s).

Answer 5

Every point that satisfies one of the equations also satisfies the other. So they are really the SAME equation. Like if I had:

y=2x+3 and
2y=4x+6

Those are the same.

Now what do you call that kind of system?

Answer 6

Inconsistent

Answer 7

@DebbieG

Answer 8

@Ryaan , @AravindG , @matheusoliveira

Answer 9

Always tag smart people! not me!

Answer 10

Inconsistent means no solution.

Answer 11

: >

Answer 12

And there is no solution if the lines are parallel.

So by process of elimination...........

Answer 13

dependent!

Answer 14

There ya go! :)