Question

Determine which system below will produce infinitely many solutions. (2 points)

A.)-6x + 3y = 18
4x - 3y = 6

B.)2x + 4y = 24
6x + 12y = 36

C.)3x - y = 14
-9x + 3y = -42

D.5x + 2y = 13
-x + 4y = -6

Answer 1

have you solved these?

Answer 2

@Jackson2701 Please solve these first :).

Answer 3

No not yet

Answer 4

ok give me a little time

Answer 5

@Jackson2701 Let us solve B

Answer 6

ok

Answer 7

If a solution is two of the same numbers it will have may solutions for example --> 0=0
If a system has x=a number it is one solution like this ---> x=2
If a soltuion is two diffrent numbers it is not a possible soltuion so no solution like this ----> 0=9

Answer 8

Then you want to substitute (-2y + 12) for x in 6x + 12y = 36

Answer 9

Tell me what you get after you do that.

Answer 10

-12y+24+12y=36
Wont you add -12y+12y which equals 0 so that cancels out

Answer 11

Yes so what does 0 =?

Answer 12

that would still leave 24, 24=36

Answer 13

Well 0 = 36 so that one has no solutions. Now let us do C

Answer 14

ok

Answer 15

Then substitute (3x−14) for y in −9x+3y=−42

Answer 16

After the png work

Answer 17

-42=-42

Answer 18

Correct now simplify both sides of those equations.

Answer 19

PS just add 42 to both sides if you did not know.

Answer 20

0=84

Answer 21

Wrong 0 = ?, Try again -42 + 42

Answer 22

0

Answer 23

So what does 0 equal then? :)

Answer 24

42

Answer 25

no.....

Answer 26

82

Answer 27

0

Answer 28

equals what?

Answer 29

0=0

Answer 30

0 = ?

Answer 31

Yes there you go!

Answer 32

so that is the answer C.)

Answer 33

0 = 0, How many solutions can that make? :)

Answer 34

infinity

Answer 35

Yes there you go!

Answer 36

thanks

Answer 37

Sure thing i have to go for the night now :)!

Answer 38

Get a good sleep!

Answer 39

you to

Answer 40

Thanks!