Question

The graph of the following system of equations is
2x + y = 6
6x + 3y = 18
a: overlapping lines
b: parallel lines
c: intersecting lines

Answer 1

Hint: Multiply first equation by 3

Answer 2

check the slope!!! What can you say about the slope of these two equations!!

Answer 3

i really don't understand it !

Answer 4

Just do what Hero said

Answer 5

i did but ...

Answer 6

What happened?

Answer 7

what am i looking for when i do that ?

Answer 8

Post what you got then let us see it!!

Answer 9

You're looking to see what happens when you multiply the first equation by three

Answer 10

but am i solving for x or y or finding the slope and y intercept or what

Answer 11

You're completely lost aren't you?

Answer 12

3*(2x + y )= 3*6
6x + 3y = 18

Answer 13

what do u get?

Answer 14

3-y/2

Answer 15

?

Answer 16

What is that?

Answer 17

y=6-2x & that

Answer 18

Is that what you got after multiplying the first equation by 3?

Answer 19

y=6-2x
ok can you tell me the slope of this equation?

Answer 20

m=-2, b=6

Answer 21

2nd Hint: If you multiply the first equation by 3, you should get the second equation.

Answer 22

Yes you got the slope right let's do it for the second one

6x + 3y = 18
3y = 18 - 6x
y = (18 - 6x)/3
y = 3 - 2x

remember y=mx+b

can you tell me the slope of the second equation

Answer 23

ok hold on

Answer 24

You are almost there!! so close!

Answer 25

m=-2 b=6 for 6x + 3y = 18

Answer 26

Yes so m and b are the same for both equations!!!

Answer 27

If m are the same that means that the equations are parallel or overlapping
but if both b and m are the same that means that both equations are overlapping!!!

Answer 28

This basically means that both equations are the same !!! Do you understand now?

Answer 29

yes

Answer 30

I'm saddened that you didn't understand my hint

Answer 31

Hey everyone does it their own way @Hero