Question

How many solutions does this system of equations have?





A.


none


B.


exactly one


C.


exactly two


D.


infinitely many

Answer 1

http://static.k12.com/calms_media/media/1513500_1514000/1513631/1/ec8c67cca51e651473151c79c0cd4dead4ee346d/MS_IMC-1400804-100523.jpg

Answer 2

@KamiBug

Answer 3

@brucebaner
What do you think?

Answer 4

B

Answer 5

Can you tell me which is the solution? (exactly one).

Answer 6

help me plz expliane

Answer 7

How many equations are displayed in the graph?

Answer 8

2

Answer 9

How many lines do you see?

Answer 10

1

Answer 11

Can you explain why this happens?

Answer 12

i dont now

Answer 13

i.e. why one single line represents two equations?

Answer 14

That's because the two lines are coincident!

Answer 15

okay

Answer 16

A system of two equations can have zero, one or infinitely many solution, ...
but never exactly two! So option C is out of the picture.

Answer 17

*solutions

Answer 18

so its C

Answer 19

It can \(never\) be "exactly two solutions" because a system of two linear equations can only have zero, one or infinitely many solutions.
The answer is in the picture I drew, so it's worthwhile to go through it.

Answer 20

so its B

Answer 21

You have many solutions because the coincident lines are touching each other all along the line.

Answer 22

so its D @mathmate

Answer 23

Exactly! D is correct, and I hope you see the reasoning!

Answer 24

kk thx so much for helping me

Answer 25

You're welcome! :)