Question

What is the value of y in the solution to the following system of equations?

5x – 3y = –3
2x – 6y = –6

Answer 1

Multiply first equation with 2 and second equation with 5 and then subtract them if you really want the value of y..

Answer 2

Do you multiply everything ?

Answer 3

@waterineyes

Answer 4

See first one I solve for you:

I said multiply first equation by 2,

2(5x - 3y = 3)

10x - 6y = 6



Now do the same for second equation but multiply it with 5..

Answer 5

Sorry gotta go...

@lgbasallote please help @Caramel_823 I have to go now...

Answer 6

so what's left here?

Answer 7

5(2x-6y)=-6
10x-30y=-30

Answer 8

wait...the system is

5x - 3y = -3
2x - 6y = -6

right?

Answer 9

Yes so after she multiplied everything how come her last number stayed positive ?

Answer 10

can we start from beginning?

Answer 11

which wouldyou like to cancel? x or y?

Answer 12

x because I'm trying to find y

Answer 13

so that was why you multiplied by 5...okay let's do that

5x - 3y = -3
10x - 30y = -30

now what would you multiply the first equation so you can cancel out x?

Answer 14

I think 2 would cancel it out

Answer 15

okay let's try

10x - 6y = -6
10x -30y = -30

so how can we cancel x? what operation do we use?

Answer 16

multiplication

Answer 17

hmm if you multiply the two equations you'll get a VERY BIG number haha

Answer 18

and the choices are addition or subtraction

Answer 19

subtraction

Answer 20

you can only use those operation in elimination method remember?

Answer 21

ok

Answer 22

ok?

Answer 23

what would be the next step ?

Answer 24

you said..subtraction..so subtract

Answer 25

subtract the equations

10x - 6y = -6
10x - 30y = -30

Answer 26

x-24y=-24

Answer 27

hmmm i think you did something wrong in subtraction

Answer 28

first what is 10x - 10x?

Answer 29

They cancel out , right ?

Answer 30

yes

Answer 31

now what's -6y - (-30y)?

Answer 32

24

Answer 33

24y*

Answer 34

what is -6 - (-30)?

Answer 35

24

Answer 36

therefore what is the difference of

10x - 6y = -6
-
10x - 30y = -30

Answer 37

24y=24

Answer 38

great..so now solve for y

Answer 39

y=1

Answer 40

correct

Answer 41

Thank you !

Answer 42

<tips hat>